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Finding the Third Proportional to 107,851.50 and 163,285.88

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Solution

The third proportional to 107,851.50 and 163,285.88 is: 247,212.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,851.50 : 163,285.88 = 163,285.88 : x
  2. Step 2: Convert to fraction form
    107,851.50/163,285.88 = 163,285.88/x
  3. Step 3: Cross multiply
    107,851.50x = 163,285.88 × 163,285.88
  4. Step 4: Simplify right side
    107,851.50x = 26,662,276,974.52
  5. Step 5: Solve for x
    x = 26,662,276,974.52/107,851.50
  6. Step 6: Final answer
    x = 247,212.85

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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.