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Finding the Third Proportional to 132,314.50 and 173,047.50

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Solution

The third proportional to 132,314.50 and 173,047.50 is: 226,320.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,314.50 : 173,047.50 = 173,047.50 : x
  2. Step 2: Convert to fraction form
    132,314.50/173,047.50 = 173,047.50/x
  3. Step 3: Cross multiply
    132,314.50x = 173,047.50 × 173,047.50
  4. Step 4: Simplify right side
    132,314.50x = 29,945,437,256.25
  5. Step 5: Solve for x
    x = 29,945,437,256.25/132,314.50
  6. Step 6: Final answer
    x = 226,320.15

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.