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Finding the Third Proportional to 61,047 and 125,748

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Solution

The third proportional to 61,047 and 125,748 is: 259,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,047 : 125,748 = 125,748 : x
  2. Step 2: Convert to fraction form
    61,047/125,748 = 125,748/x
  3. Step 3: Cross multiply
    61,047x = 125,748 × 125,748
  4. Step 4: Simplify right side
    61,047x = 15,812,559,504
  5. Step 5: Solve for x
    x = 15,812,559,504/61,047
  6. Step 6: Final answer
    x = 259,022.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.