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Finding the Third Proportional to 64,292.38 and 141,043.75

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Solution

The third proportional to 64,292.38 and 141,043.75 is: 309,419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,292.38 : 141,043.75 = 141,043.75 : x
  2. Step 2: Convert to fraction form
    64,292.38/141,043.75 = 141,043.75/x
  3. Step 3: Cross multiply
    64,292.38x = 141,043.75 × 141,043.75
  4. Step 4: Simplify right side
    64,292.38x = 19,893,339,414.06
  5. Step 5: Solve for x
    x = 19,893,339,414.06/64,292.38
  6. Step 6: Final answer
    x = 309,419.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.