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Finding the Third Proportional to 61,265 and 83,146

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Solution

The third proportional to 61,265 and 83,146 is: 112,841.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,265 : 83,146 = 83,146 : x
  2. Step 2: Convert to fraction form
    61,265/83,146 = 83,146/x
  3. Step 3: Cross multiply
    61,265x = 83,146 × 83,146
  4. Step 4: Simplify right side
    61,265x = 6,913,257,316
  5. Step 5: Solve for x
    x = 6,913,257,316/61,265
  6. Step 6: Final answer
    x = 112,841.87

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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.