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Finding the Third Proportional to 65,746.69 and 133,543.69

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Solution

The third proportional to 65,746.69 and 133,543.69 is: 271,251.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,746.69 : 133,543.69 = 133,543.69 : x
  2. Step 2: Convert to fraction form
    65,746.69/133,543.69 = 133,543.69/x
  3. Step 3: Cross multiply
    65,746.69x = 133,543.69 × 133,543.69
  4. Step 4: Simplify right side
    65,746.69x = 17,833,916,471.10
  5. Step 5: Solve for x
    x = 17,833,916,471.10/65,746.69
  6. Step 6: Final answer
    x = 271,251.94

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.