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Finding the Third Proportional to 55,065 and 87,521

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Solution

The third proportional to 55,065 and 87,521 is: 139,106.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,065 : 87,521 = 87,521 : x
  2. Step 2: Convert to fraction form
    55,065/87,521 = 87,521/x
  3. Step 3: Cross multiply
    55,065x = 87,521 × 87,521
  4. Step 4: Simplify right side
    55,065x = 7,659,925,441
  5. Step 5: Solve for x
    x = 7,659,925,441/55,065
  6. Step 6: Final answer
    x = 139,106.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.