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Finding the Third Proportional to 34,854 and 75,468

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Solution

The third proportional to 34,854 and 75,468 is: 163,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,854 : 75,468 = 75,468 : x
  2. Step 2: Convert to fraction form
    34,854/75,468 = 75,468/x
  3. Step 3: Cross multiply
    34,854x = 75,468 × 75,468
  4. Step 4: Simplify right side
    34,854x = 5,695,419,024
  5. Step 5: Solve for x
    x = 5,695,419,024/34,854
  6. Step 6: Final answer
    x = 163,407.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.