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Finding the Third Proportional to 72,754.50 and 112,372.50

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Solution

The third proportional to 72,754.50 and 112,372.50 is: 173,564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,754.50 : 112,372.50 = 112,372.50 : x
  2. Step 2: Convert to fraction form
    72,754.50/112,372.50 = 112,372.50/x
  3. Step 3: Cross multiply
    72,754.50x = 112,372.50 × 112,372.50
  4. Step 4: Simplify right side
    72,754.50x = 12,627,578,756.25
  5. Step 5: Solve for x
    x = 12,627,578,756.25/72,754.50
  6. Step 6: Final answer
    x = 173,564.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.