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Finding the Third Proportional to 112,521 and 240,108

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Solution

The third proportional to 112,521 and 240,108 is: 512,365.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,521 : 240,108 = 240,108 : x
  2. Step 2: Convert to fraction form
    112,521/240,108 = 240,108/x
  3. Step 3: Cross multiply
    112,521x = 240,108 × 240,108
  4. Step 4: Simplify right side
    112,521x = 57,651,851,664
  5. Step 5: Solve for x
    x = 57,651,851,664/112,521
  6. Step 6: Final answer
    x = 512,365.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.