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Finding the Third Proportional to 88,376 and 186,986

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Solution

The third proportional to 88,376 and 186,986 is: 395,625.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,376 : 186,986 = 186,986 : x
  2. Step 2: Convert to fraction form
    88,376/186,986 = 186,986/x
  3. Step 3: Cross multiply
    88,376x = 186,986 × 186,986
  4. Step 4: Simplify right side
    88,376x = 34,963,764,196
  5. Step 5: Solve for x
    x = 34,963,764,196/88,376
  6. Step 6: Final answer
    x = 395,625.10

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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.