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Finding the Third Proportional to 61,468.50 and 93,478.13

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Solution

The third proportional to 61,468.50 and 93,478.13 is: 142,156.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,468.50 : 93,478.13 = 93,478.13 : x
  2. Step 2: Convert to fraction form
    61,468.50/93,478.13 = 93,478.13/x
  3. Step 3: Cross multiply
    61,468.50x = 93,478.13 × 93,478.13
  4. Step 4: Simplify right side
    61,468.50x = 8,738,159,853.52
  5. Step 5: Solve for x
    x = 8,738,159,853.52/61,468.50
  6. Step 6: Final answer
    x = 142,156.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.