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Finding the Third Proportional to 66,430.13 and 144,129.38

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Solution

The third proportional to 66,430.13 and 144,129.38 is: 312,708.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,430.13 : 144,129.38 = 144,129.38 : x
  2. Step 2: Convert to fraction form
    66,430.13/144,129.38 = 144,129.38/x
  3. Step 3: Cross multiply
    66,430.13x = 144,129.38 × 144,129.38
  4. Step 4: Simplify right side
    66,430.13x = 20,773,276,737.89
  5. Step 5: Solve for x
    x = 20,773,276,737.89/66,430.13
  6. Step 6: Final answer
    x = 312,708.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.