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Finding the Third Proportional to 110,122.50 and 233,124

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Solution

The third proportional to 110,122.50 and 233,124 is: 493,512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,122.50 : 233,124 = 233,124 : x
  2. Step 2: Convert to fraction form
    110,122.50/233,124 = 233,124/x
  3. Step 3: Cross multiply
    110,122.50x = 233,124 × 233,124
  4. Step 4: Simplify right side
    110,122.50x = 54,346,799,376
  5. Step 5: Solve for x
    x = 54,346,799,376/110,122.50
  6. Step 6: Final answer
    x = 493,512.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.