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Finding the Third Proportional to 112,080 and 233,664

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Solution

The third proportional to 112,080 and 233,664 is: 487,141.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,080 : 233,664 = 233,664 : x
  2. Step 2: Convert to fraction form
    112,080/233,664 = 233,664/x
  3. Step 3: Cross multiply
    112,080x = 233,664 × 233,664
  4. Step 4: Simplify right side
    112,080x = 54,598,864,896
  5. Step 5: Solve for x
    x = 54,598,864,896/112,080
  6. Step 6: Final answer
    x = 487,141.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.