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Finding the Third Proportional to 61,724 and 127,820

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Solution

The third proportional to 61,724 and 127,820 is: 264,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,724 : 127,820 = 127,820 : x
  2. Step 2: Convert to fraction form
    61,724/127,820 = 127,820/x
  3. Step 3: Cross multiply
    61,724x = 127,820 × 127,820
  4. Step 4: Simplify right side
    61,724x = 16,337,952,400
  5. Step 5: Solve for x
    x = 16,337,952,400/61,724
  6. Step 6: Final answer
    x = 264,693.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.