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Finding the Third Proportional to 66,501 and 99,589.50

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Solution

The third proportional to 66,501 and 99,589.50 is: 149,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,501 : 99,589.50 = 99,589.50 : x
  2. Step 2: Convert to fraction form
    66,501/99,589.50 = 99,589.50/x
  3. Step 3: Cross multiply
    66,501x = 99,589.50 × 99,589.50
  4. Step 4: Simplify right side
    66,501x = 9,918,068,510.25
  5. Step 5: Solve for x
    x = 9,918,068,510.25/66,501
  6. Step 6: Final answer
    x = 149,141.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.