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Finding the Third Proportional to 60,939.50 and 97,312

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Solution

The third proportional to 60,939.50 and 97,312 is: 155,393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,939.50 : 97,312 = 97,312 : x
  2. Step 2: Convert to fraction form
    60,939.50/97,312 = 97,312/x
  3. Step 3: Cross multiply
    60,939.50x = 97,312 × 97,312
  4. Step 4: Simplify right side
    60,939.50x = 9,469,625,344
  5. Step 5: Solve for x
    x = 9,469,625,344/60,939.50
  6. Step 6: Final answer
    x = 155,393.88

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.