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Finding the Third Proportional to 42,566 and 86,348

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Solution

The third proportional to 42,566 and 86,348 is: 175,162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,566 : 86,348 = 86,348 : x
  2. Step 2: Convert to fraction form
    42,566/86,348 = 86,348/x
  3. Step 3: Cross multiply
    42,566x = 86,348 × 86,348
  4. Step 4: Simplify right side
    42,566x = 7,455,977,104
  5. Step 5: Solve for x
    x = 7,455,977,104/42,566
  6. Step 6: Final answer
    x = 175,162.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.