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Finding the Third Proportional to 61,838.25 and 93,331.50

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Solution

The third proportional to 61,838.25 and 93,331.50 is: 140,863.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,838.25 : 93,331.50 = 93,331.50 : x
  2. Step 2: Convert to fraction form
    61,838.25/93,331.50 = 93,331.50/x
  3. Step 3: Cross multiply
    61,838.25x = 93,331.50 × 93,331.50
  4. Step 4: Simplify right side
    61,838.25x = 8,710,768,892.25
  5. Step 5: Solve for x
    x = 8,710,768,892.25/61,838.25
  6. Step 6: Final answer
    x = 140,863.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.