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Finding the Third Proportional to 61,265 and 83,147

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Solution

The third proportional to 61,265 and 83,147 is: 112,844.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,265 : 83,147 = 83,147 : x
  2. Step 2: Convert to fraction form
    61,265/83,147 = 83,147/x
  3. Step 3: Cross multiply
    61,265x = 83,147 × 83,147
  4. Step 4: Simplify right side
    61,265x = 6,913,423,609
  5. Step 5: Solve for x
    x = 6,913,423,609/61,265
  6. Step 6: Final answer
    x = 112,844.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.