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Finding the Third Proportional to 65,335.50 and 92,007.75

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Solution

The third proportional to 65,335.50 and 92,007.75 is: 129,568.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,335.50 : 92,007.75 = 92,007.75 : x
  2. Step 2: Convert to fraction form
    65,335.50/92,007.75 = 92,007.75/x
  3. Step 3: Cross multiply
    65,335.50x = 92,007.75 × 92,007.75
  4. Step 4: Simplify right side
    65,335.50x = 8,465,426,060.06
  5. Step 5: Solve for x
    x = 8,465,426,060.06/65,335.50
  6. Step 6: Final answer
    x = 129,568.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.