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Finding the Third Proportional to 66,508.59 and 141,643.69

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Solution

The third proportional to 66,508.59 and 141,643.69 is: 301,659.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,508.59 : 141,643.69 = 141,643.69 : x
  2. Step 2: Convert to fraction form
    66,508.59/141,643.69 = 141,643.69/x
  3. Step 3: Cross multiply
    66,508.59x = 141,643.69 × 141,643.69
  4. Step 4: Simplify right side
    66,508.59x = 20,062,934,208.60
  5. Step 5: Solve for x
    x = 20,062,934,208.60/66,508.59
  6. Step 6: Final answer
    x = 301,659.28

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.