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Finding the Third Proportional to 101,142 and 221,724

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Solution

The third proportional to 101,142 and 221,724 is: 486,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,142 : 221,724 = 221,724 : x
  2. Step 2: Convert to fraction form
    101,142/221,724 = 221,724/x
  3. Step 3: Cross multiply
    101,142x = 221,724 × 221,724
  4. Step 4: Simplify right side
    101,142x = 49,161,532,176
  5. Step 5: Solve for x
    x = 49,161,532,176/101,142
  6. Step 6: Final answer
    x = 486,064.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.