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Finding the Third Proportional to 61,332 and 135,766.50

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Solution

The third proportional to 61,332 and 135,766.50 is: 300,537.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,332 : 135,766.50 = 135,766.50 : x
  2. Step 2: Convert to fraction form
    61,332/135,766.50 = 135,766.50/x
  3. Step 3: Cross multiply
    61,332x = 135,766.50 × 135,766.50
  4. Step 4: Simplify right side
    61,332x = 18,432,542,522.25
  5. Step 5: Solve for x
    x = 18,432,542,522.25/61,332
  6. Step 6: Final answer
    x = 300,537.12

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.