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Finding the Third Proportional to 62,188.50 and 96,942

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Solution

The third proportional to 62,188.50 and 96,942 is: 151,117.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,188.50 : 96,942 = 96,942 : x
  2. Step 2: Convert to fraction form
    62,188.50/96,942 = 96,942/x
  3. Step 3: Cross multiply
    62,188.50x = 96,942 × 96,942
  4. Step 4: Simplify right side
    62,188.50x = 9,397,751,364
  5. Step 5: Solve for x
    x = 9,397,751,364/62,188.50
  6. Step 6: Final answer
    x = 151,117.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.