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Finding the Third Proportional to 64,711.83 and 138,419.72

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Solution

The third proportional to 64,711.83 and 138,419.72 is: 296,082.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,711.83 : 138,419.72 = 138,419.72 : x
  2. Step 2: Convert to fraction form
    64,711.83/138,419.72 = 138,419.72/x
  3. Step 3: Cross multiply
    64,711.83x = 138,419.72 × 138,419.72
  4. Step 4: Simplify right side
    64,711.83x = 19,160,018,538.83
  5. Step 5: Solve for x
    x = 19,160,018,538.83/64,711.83
  6. Step 6: Final answer
    x = 296,082.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.