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Finding the Third Proportional to 81,471 and 170,728.50

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Solution

The third proportional to 81,471 and 170,728.50 is: 357,774.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,471 : 170,728.50 = 170,728.50 : x
  2. Step 2: Convert to fraction form
    81,471/170,728.50 = 170,728.50/x
  3. Step 3: Cross multiply
    81,471x = 170,728.50 × 170,728.50
  4. Step 4: Simplify right side
    81,471x = 29,148,220,712.25
  5. Step 5: Solve for x
    x = 29,148,220,712.25/81,471
  6. Step 6: Final answer
    x = 357,774.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.