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Finding the Third Proportional to 78,801.50 and 170,729

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Solution

The third proportional to 78,801.50 and 170,729 is: 369,896.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,801.50 : 170,729 = 170,729 : x
  2. Step 2: Convert to fraction form
    78,801.50/170,729 = 170,729/x
  3. Step 3: Cross multiply
    78,801.50x = 170,729 × 170,729
  4. Step 4: Simplify right side
    78,801.50x = 29,148,391,441
  5. Step 5: Solve for x
    x = 29,148,391,441/78,801.50
  6. Step 6: Final answer
    x = 369,896.40

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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.