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Finding the Third Proportional to 88,557.75 and 102,952.69

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Solution

The third proportional to 88,557.75 and 102,952.69 is: 119,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,557.75 : 102,952.69 = 102,952.69 : x
  2. Step 2: Convert to fraction form
    88,557.75/102,952.69 = 102,952.69/x
  3. Step 3: Cross multiply
    88,557.75x = 102,952.69 × 102,952.69
  4. Step 4: Simplify right side
    88,557.75x = 10,599,255,863.47
  5. Step 5: Solve for x
    x = 10,599,255,863.47/88,557.75
  6. Step 6: Final answer
    x = 119,687.50

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.