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Finding the Third Proportional to 187,127 and 206,537

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Solution

The third proportional to 187,127 and 206,537 is: 227,960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,127 : 206,537 = 206,537 : x
  2. Step 2: Convert to fraction form
    187,127/206,537 = 206,537/x
  3. Step 3: Cross multiply
    187,127x = 206,537 × 206,537
  4. Step 4: Simplify right side
    187,127x = 42,657,532,369
  5. Step 5: Solve for x
    x = 42,657,532,369/187,127
  6. Step 6: Final answer
    x = 227,960.33

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.