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Finding the Third Proportional to 86,541 and 186,922

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Solution

The third proportional to 86,541 and 186,922 is: 403,737.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,541 : 186,922 = 186,922 : x
  2. Step 2: Convert to fraction form
    86,541/186,922 = 186,922/x
  3. Step 3: Cross multiply
    86,541x = 186,922 × 186,922
  4. Step 4: Simplify right side
    86,541x = 34,939,834,084
  5. Step 5: Solve for x
    x = 34,939,834,084/86,541
  6. Step 6: Final answer
    x = 403,737.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.