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Finding the Third Proportional to 57,464 and 84,304

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Solution

The third proportional to 57,464 and 84,304 is: 123,680.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,464 : 84,304 = 84,304 : x
  2. Step 2: Convert to fraction form
    57,464/84,304 = 84,304/x
  3. Step 3: Cross multiply
    57,464x = 84,304 × 84,304
  4. Step 4: Simplify right side
    57,464x = 7,107,164,416
  5. Step 5: Solve for x
    x = 7,107,164,416/57,464
  6. Step 6: Final answer
    x = 123,680.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.