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Finding the Third Proportional to 72,856.13 and 103,834.13

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Solution

The third proportional to 72,856.13 and 103,834.13 is: 147,983.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,856.13 : 103,834.13 = 103,834.13 : x
  2. Step 2: Convert to fraction form
    72,856.13/103,834.13 = 103,834.13/x
  3. Step 3: Cross multiply
    72,856.13x = 103,834.13 × 103,834.13
  4. Step 4: Simplify right side
    72,856.13x = 10,781,525,514.52
  5. Step 5: Solve for x
    x = 10,781,525,514.52/72,856.13
  6. Step 6: Final answer
    x = 147,983.79

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.