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Finding the Third Proportional to 111,752 and 243,581

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Solution

The third proportional to 111,752 and 243,581 is: 530,922.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,752 : 243,581 = 243,581 : x
  2. Step 2: Convert to fraction form
    111,752/243,581 = 243,581/x
  3. Step 3: Cross multiply
    111,752x = 243,581 × 243,581
  4. Step 4: Simplify right side
    111,752x = 59,331,703,561
  5. Step 5: Solve for x
    x = 59,331,703,561/111,752
  6. Step 6: Final answer
    x = 530,922.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.