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Finding the Third Proportional to 89,413 and 186,169

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Solution

The third proportional to 89,413 and 186,169 is: 387,627.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,413 : 186,169 = 186,169 : x
  2. Step 2: Convert to fraction form
    89,413/186,169 = 186,169/x
  3. Step 3: Cross multiply
    89,413x = 186,169 × 186,169
  4. Step 4: Simplify right side
    89,413x = 34,658,896,561
  5. Step 5: Solve for x
    x = 34,658,896,561/89,413
  6. Step 6: Final answer
    x = 387,627.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.