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Finding the Third Proportional to 61,980.19 and 134,470.13

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Solution

The third proportional to 61,980.19 and 134,470.13 is: 291,741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,980.19 : 134,470.13 = 134,470.13 : x
  2. Step 2: Convert to fraction form
    61,980.19/134,470.13 = 134,470.13/x
  3. Step 3: Cross multiply
    61,980.19x = 134,470.13 × 134,470.13
  4. Step 4: Simplify right side
    61,980.19x = 18,082,214,517.52
  5. Step 5: Solve for x
    x = 18,082,214,517.52/61,980.19
  6. Step 6: Final answer
    x = 291,741.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.