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Finding the Third Proportional to 42,651 and 99,151

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Solution

The third proportional to 42,651 and 99,151 is: 230,496.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,651 : 99,151 = 99,151 : x
  2. Step 2: Convert to fraction form
    42,651/99,151 = 99,151/x
  3. Step 3: Cross multiply
    42,651x = 99,151 × 99,151
  4. Step 4: Simplify right side
    42,651x = 9,830,920,801
  5. Step 5: Solve for x
    x = 9,830,920,801/42,651
  6. Step 6: Final answer
    x = 230,496.84

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.