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Finding the Third Proportional to 42,490 and 93,452

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Solution

The third proportional to 42,490 and 93,452 is: 205,537.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,490 : 93,452 = 93,452 : x
  2. Step 2: Convert to fraction form
    42,490/93,452 = 93,452/x
  3. Step 3: Cross multiply
    42,490x = 93,452 × 93,452
  4. Step 4: Simplify right side
    42,490x = 8,733,276,304
  5. Step 5: Solve for x
    x = 8,733,276,304/42,490
  6. Step 6: Final answer
    x = 205,537.22

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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.