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Finding the Third Proportional to 87,497 and 187,426

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Solution

The third proportional to 87,497 and 187,426 is: 401,482.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,497 : 187,426 = 187,426 : x
  2. Step 2: Convert to fraction form
    87,497/187,426 = 187,426/x
  3. Step 3: Cross multiply
    87,497x = 187,426 × 187,426
  4. Step 4: Simplify right side
    87,497x = 35,128,505,476
  5. Step 5: Solve for x
    x = 35,128,505,476/87,497
  6. Step 6: Final answer
    x = 401,482.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.