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Finding the Third Proportional to 65,863 and 101,255.50

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Solution

The third proportional to 65,863 and 101,255.50 is: 155,666.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,863 : 101,255.50 = 101,255.50 : x
  2. Step 2: Convert to fraction form
    65,863/101,255.50 = 101,255.50/x
  3. Step 3: Cross multiply
    65,863x = 101,255.50 × 101,255.50
  4. Step 4: Simplify right side
    65,863x = 10,252,676,280.25
  5. Step 5: Solve for x
    x = 10,252,676,280.25/65,863
  6. Step 6: Final answer
    x = 155,666.71

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.