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Finding the Third Proportional to 64,932 and 159,042.50

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Solution

The third proportional to 64,932 and 159,042.50 is: 389,553.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,932 : 159,042.50 = 159,042.50 : x
  2. Step 2: Convert to fraction form
    64,932/159,042.50 = 159,042.50/x
  3. Step 3: Cross multiply
    64,932x = 159,042.50 × 159,042.50
  4. Step 4: Simplify right side
    64,932x = 25,294,516,806.25
  5. Step 5: Solve for x
    x = 25,294,516,806.25/64,932
  6. Step 6: Final answer
    x = 389,553.95

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These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.