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Finding the Third Proportional to 100,584 and 148,521

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Solution

The third proportional to 100,584 and 148,521 is: 219,304.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,584 : 148,521 = 148,521 : x
  2. Step 2: Convert to fraction form
    100,584/148,521 = 148,521/x
  3. Step 3: Cross multiply
    100,584x = 148,521 × 148,521
  4. Step 4: Simplify right side
    100,584x = 22,058,487,441
  5. Step 5: Solve for x
    x = 22,058,487,441/100,584
  6. Step 6: Final answer
    x = 219,304.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.