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Finding the Third Proportional to 87,748 and 189,507

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Solution

The third proportional to 87,748 and 189,507 is: 409,273.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,748 : 189,507 = 189,507 : x
  2. Step 2: Convert to fraction form
    87,748/189,507 = 189,507/x
  3. Step 3: Cross multiply
    87,748x = 189,507 × 189,507
  4. Step 4: Simplify right side
    87,748x = 35,912,903,049
  5. Step 5: Solve for x
    x = 35,912,903,049/87,748
  6. Step 6: Final answer
    x = 409,273.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.