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Finding the Third Proportional to 61,859 and 132,466

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Solution

The third proportional to 61,859 and 132,466 is: 283,665.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,859 : 132,466 = 132,466 : x
  2. Step 2: Convert to fraction form
    61,859/132,466 = 132,466/x
  3. Step 3: Cross multiply
    61,859x = 132,466 × 132,466
  4. Step 4: Simplify right side
    61,859x = 17,547,241,156
  5. Step 5: Solve for x
    x = 17,547,241,156/61,859
  6. Step 6: Final answer
    x = 283,665.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.