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Finding the Third Proportional to 34,902 and 75,402

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Solution

The third proportional to 34,902 and 75,402 is: 162,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,902 : 75,402 = 75,402 : x
  2. Step 2: Convert to fraction form
    34,902/75,402 = 75,402/x
  3. Step 3: Cross multiply
    34,902x = 75,402 × 75,402
  4. Step 4: Simplify right side
    34,902x = 5,685,461,604
  5. Step 5: Solve for x
    x = 5,685,461,604/34,902
  6. Step 6: Final answer
    x = 162,897.87

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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.