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Finding the Third Proportional to 42,778 and 93,473

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Solution

The third proportional to 42,778 and 93,473 is: 204,245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,778 : 93,473 = 93,473 : x
  2. Step 2: Convert to fraction form
    42,778/93,473 = 93,473/x
  3. Step 3: Cross multiply
    42,778x = 93,473 × 93,473
  4. Step 4: Simplify right side
    42,778x = 8,737,201,729
  5. Step 5: Solve for x
    x = 8,737,201,729/42,778
  6. Step 6: Final answer
    x = 204,245.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.