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Finding the Third Proportional to 66,693.09 and 101,707.88

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Solution

The third proportional to 66,693.09 and 101,707.88 is: 155,105.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,693.09 : 101,707.88 = 101,707.88 : x
  2. Step 2: Convert to fraction form
    66,693.09/101,707.88 = 101,707.88/x
  3. Step 3: Cross multiply
    66,693.09x = 101,707.88 × 101,707.88
  4. Step 4: Simplify right side
    66,693.09x = 10,344,491,837.02
  5. Step 5: Solve for x
    x = 10,344,491,837.02/66,693.09
  6. Step 6: Final answer
    x = 155,105.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.