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Finding the Third Proportional to 72,860 and 109,359

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Solution

The third proportional to 72,860 and 109,359 is: 164,142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,860 : 109,359 = 109,359 : x
  2. Step 2: Convert to fraction form
    72,860/109,359 = 109,359/x
  3. Step 3: Cross multiply
    72,860x = 109,359 × 109,359
  4. Step 4: Simplify right side
    72,860x = 11,959,390,881
  5. Step 5: Solve for x
    x = 11,959,390,881/72,860
  6. Step 6: Final answer
    x = 164,142.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.