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Finding the Third Proportional to 69,712 and 105,217.50

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Solution

The third proportional to 69,712 and 105,217.50 is: 158,806.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,712 : 105,217.50 = 105,217.50 : x
  2. Step 2: Convert to fraction form
    69,712/105,217.50 = 105,217.50/x
  3. Step 3: Cross multiply
    69,712x = 105,217.50 × 105,217.50
  4. Step 4: Simplify right side
    69,712x = 11,070,722,306.25
  5. Step 5: Solve for x
    x = 11,070,722,306.25/69,712
  6. Step 6: Final answer
    x = 158,806.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.