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Finding the Third Proportional to 63,761 and 93,593.50

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Solution

The third proportional to 63,761 and 93,593.50 is: 137,384.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,761 : 93,593.50 = 93,593.50 : x
  2. Step 2: Convert to fraction form
    63,761/93,593.50 = 93,593.50/x
  3. Step 3: Cross multiply
    63,761x = 93,593.50 × 93,593.50
  4. Step 4: Simplify right side
    63,761x = 8,759,743,242.25
  5. Step 5: Solve for x
    x = 8,759,743,242.25/63,761
  6. Step 6: Final answer
    x = 137,384.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.