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Finding the Third Proportional to 60,285.94 and 127,337.06

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Solution

The third proportional to 60,285.94 and 127,337.06 is: 268,963.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,285.94 : 127,337.06 = 127,337.06 : x
  2. Step 2: Convert to fraction form
    60,285.94/127,337.06 = 127,337.06/x
  3. Step 3: Cross multiply
    60,285.94x = 127,337.06 × 127,337.06
  4. Step 4: Simplify right side
    60,285.94x = 16,214,727,486.13
  5. Step 5: Solve for x
    x = 16,214,727,486.13/60,285.94
  6. Step 6: Final answer
    x = 268,963.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.