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Finding the Third Proportional to 124,543.50 and 188,289

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Solution

The third proportional to 124,543.50 and 188,289 is: 284,661.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,543.50 : 188,289 = 188,289 : x
  2. Step 2: Convert to fraction form
    124,543.50/188,289 = 188,289/x
  3. Step 3: Cross multiply
    124,543.50x = 188,289 × 188,289
  4. Step 4: Simplify right side
    124,543.50x = 35,452,747,521
  5. Step 5: Solve for x
    x = 35,452,747,521/124,543.50
  6. Step 6: Final answer
    x = 284,661.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.