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Finding the Third Proportional to 112,080 and 243,744

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Solution

The third proportional to 112,080 and 243,744 is: 530,077.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,080 : 243,744 = 243,744 : x
  2. Step 2: Convert to fraction form
    112,080/243,744 = 243,744/x
  3. Step 3: Cross multiply
    112,080x = 243,744 × 243,744
  4. Step 4: Simplify right side
    112,080x = 59,411,137,536
  5. Step 5: Solve for x
    x = 59,411,137,536/112,080
  6. Step 6: Final answer
    x = 530,077.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.