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Finding the Third Proportional to 35,746 and 78,542

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Solution

The third proportional to 35,746 and 78,542 is: 172,574.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,746 : 78,542 = 78,542 : x
  2. Step 2: Convert to fraction form
    35,746/78,542 = 78,542/x
  3. Step 3: Cross multiply
    35,746x = 78,542 × 78,542
  4. Step 4: Simplify right side
    35,746x = 6,168,845,764
  5. Step 5: Solve for x
    x = 6,168,845,764/35,746
  6. Step 6: Final answer
    x = 172,574.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.