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Finding the Third Proportional to 87,595 and 191,547

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Solution

The third proportional to 87,595 and 191,547 is: 418,862.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,595 : 191,547 = 191,547 : x
  2. Step 2: Convert to fraction form
    87,595/191,547 = 191,547/x
  3. Step 3: Cross multiply
    87,595x = 191,547 × 191,547
  4. Step 4: Simplify right side
    87,595x = 36,690,253,209
  5. Step 5: Solve for x
    x = 36,690,253,209/87,595
  6. Step 6: Final answer
    x = 418,862.41

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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.