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Finding the Third Proportional to 89,154 and 131,001

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Solution

The third proportional to 89,154 and 131,001 is: 192,490.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,154 : 131,001 = 131,001 : x
  2. Step 2: Convert to fraction form
    89,154/131,001 = 131,001/x
  3. Step 3: Cross multiply
    89,154x = 131,001 × 131,001
  4. Step 4: Simplify right side
    89,154x = 17,161,262,001
  5. Step 5: Solve for x
    x = 17,161,262,001/89,154
  6. Step 6: Final answer
    x = 192,490.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.