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Finding the Third Proportional to 61,670 and 129,784

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Solution

The third proportional to 61,670 and 129,784 is: 273,129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,670 : 129,784 = 129,784 : x
  2. Step 2: Convert to fraction form
    61,670/129,784 = 129,784/x
  3. Step 3: Cross multiply
    61,670x = 129,784 × 129,784
  4. Step 4: Simplify right side
    61,670x = 16,843,886,656
  5. Step 5: Solve for x
    x = 16,843,886,656/61,670
  6. Step 6: Final answer
    x = 273,129.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.