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Finding the Third Proportional to 72,554 and 106,347

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Solution

The third proportional to 72,554 and 106,347 is: 155,879.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,554 : 106,347 = 106,347 : x
  2. Step 2: Convert to fraction form
    72,554/106,347 = 106,347/x
  3. Step 3: Cross multiply
    72,554x = 106,347 × 106,347
  4. Step 4: Simplify right side
    72,554x = 11,309,684,409
  5. Step 5: Solve for x
    x = 11,309,684,409/72,554
  6. Step 6: Final answer
    x = 155,879.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.