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Finding the Third Proportional to 66,029 and 98,791

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Solution

The third proportional to 66,029 and 98,791 is: 147,808.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,029 : 98,791 = 98,791 : x
  2. Step 2: Convert to fraction form
    66,029/98,791 = 98,791/x
  3. Step 3: Cross multiply
    66,029x = 98,791 × 98,791
  4. Step 4: Simplify right side
    66,029x = 9,759,661,681
  5. Step 5: Solve for x
    x = 9,759,661,681/66,029
  6. Step 6: Final answer
    x = 147,808.72

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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.