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Finding the Third Proportional to 55,482 and 90,587

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Solution

The third proportional to 55,482 and 90,587 is: 147,903.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,482 : 90,587 = 90,587 : x
  2. Step 2: Convert to fraction form
    55,482/90,587 = 90,587/x
  3. Step 3: Cross multiply
    55,482x = 90,587 × 90,587
  4. Step 4: Simplify right side
    55,482x = 8,206,004,569
  5. Step 5: Solve for x
    x = 8,206,004,569/55,482
  6. Step 6: Final answer
    x = 147,903.91

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.