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Finding the Third Proportional to 86,429 and 141,129.50

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Solution

The third proportional to 86,429 and 141,129.50 is: 230,449.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,429 : 141,129.50 = 141,129.50 : x
  2. Step 2: Convert to fraction form
    86,429/141,129.50 = 141,129.50/x
  3. Step 3: Cross multiply
    86,429x = 141,129.50 × 141,129.50
  4. Step 4: Simplify right side
    86,429x = 19,917,535,770.25
  5. Step 5: Solve for x
    x = 19,917,535,770.25/86,429
  6. Step 6: Final answer
    x = 230,449.68

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.