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Finding the Third Proportional to 72,856.13 and 96,838.03

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Solution

The third proportional to 72,856.13 and 96,838.03 is: 128,714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,856.13 : 96,838.03 = 96,838.03 : x
  2. Step 2: Convert to fraction form
    72,856.13/96,838.03 = 96,838.03/x
  3. Step 3: Cross multiply
    72,856.13x = 96,838.03 × 96,838.03
  4. Step 4: Simplify right side
    72,856.13x = 9,377,604,296.38
  5. Step 5: Solve for x
    x = 9,377,604,296.38/72,856.13
  6. Step 6: Final answer
    x = 128,714.01

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.