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Finding the Third Proportional to 88,106 and 141,864

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Solution

The third proportional to 88,106 and 141,864 is: 228,422.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,106 : 141,864 = 141,864 : x
  2. Step 2: Convert to fraction form
    88,106/141,864 = 141,864/x
  3. Step 3: Cross multiply
    88,106x = 141,864 × 141,864
  4. Step 4: Simplify right side
    88,106x = 20,125,394,496
  5. Step 5: Solve for x
    x = 20,125,394,496/88,106
  6. Step 6: Final answer
    x = 228,422.52

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.