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Finding the Third Proportional to 99,427 and 150,587

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Solution

The third proportional to 99,427 and 150,587 is: 228,071.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,427 : 150,587 = 150,587 : x
  2. Step 2: Convert to fraction form
    99,427/150,587 = 150,587/x
  3. Step 3: Cross multiply
    99,427x = 150,587 × 150,587
  4. Step 4: Simplify right side
    99,427x = 22,676,444,569
  5. Step 5: Solve for x
    x = 22,676,444,569/99,427
  6. Step 6: Final answer
    x = 228,071.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.