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Finding the Third Proportional to 88,786 and 188,587

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Solution

The third proportional to 88,786 and 188,587 is: 400,570.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,786 : 188,587 = 188,587 : x
  2. Step 2: Convert to fraction form
    88,786/188,587 = 188,587/x
  3. Step 3: Cross multiply
    88,786x = 188,587 × 188,587
  4. Step 4: Simplify right side
    88,786x = 35,565,056,569
  5. Step 5: Solve for x
    x = 35,565,056,569/88,786
  6. Step 6: Final answer
    x = 400,570.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.