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Finding the Third Proportional to 86,394 and 187,254

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Solution

The third proportional to 86,394 and 187,254 is: 405,862.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,394 : 187,254 = 187,254 : x
  2. Step 2: Convert to fraction form
    86,394/187,254 = 187,254/x
  3. Step 3: Cross multiply
    86,394x = 187,254 × 187,254
  4. Step 4: Simplify right side
    86,394x = 35,064,060,516
  5. Step 5: Solve for x
    x = 35,064,060,516/86,394
  6. Step 6: Final answer
    x = 405,862.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.