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Finding the Third Proportional to 57,778 and 125,032

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Solution

The third proportional to 57,778 and 125,032 is: 270,570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,778 : 125,032 = 125,032 : x
  2. Step 2: Convert to fraction form
    57,778/125,032 = 125,032/x
  3. Step 3: Cross multiply
    57,778x = 125,032 × 125,032
  4. Step 4: Simplify right side
    57,778x = 15,633,001,024
  5. Step 5: Solve for x
    x = 15,633,001,024/57,778
  6. Step 6: Final answer
    x = 270,570.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.