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Finding the Third Proportional to 101,024 and 149,582

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Solution

The third proportional to 101,024 and 149,582 is: 221,479.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,024 : 149,582 = 149,582 : x
  2. Step 2: Convert to fraction form
    101,024/149,582 = 149,582/x
  3. Step 3: Cross multiply
    101,024x = 149,582 × 149,582
  4. Step 4: Simplify right side
    101,024x = 22,374,774,724
  5. Step 5: Solve for x
    x = 22,374,774,724/101,024
  6. Step 6: Final answer
    x = 221,479.79

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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.