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Finding the Third Proportional to 94,594.50 and 138,250.13

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Solution

The third proportional to 94,594.50 and 138,250.13 is: 202,052.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,594.50 : 138,250.13 = 138,250.13 : x
  2. Step 2: Convert to fraction form
    94,594.50/138,250.13 = 138,250.13/x
  3. Step 3: Cross multiply
    94,594.50x = 138,250.13 × 138,250.13
  4. Step 4: Simplify right side
    94,594.50x = 19,113,097,062.52
  5. Step 5: Solve for x
    x = 19,113,097,062.52/94,594.50
  6. Step 6: Final answer
    x = 202,052.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.