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Finding the Third Proportional to 42,273.75 and 98,292

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Solution

The third proportional to 42,273.75 and 98,292 is: 228,541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,273.75 : 98,292 = 98,292 : x
  2. Step 2: Convert to fraction form
    42,273.75/98,292 = 98,292/x
  3. Step 3: Cross multiply
    42,273.75x = 98,292 × 98,292
  4. Step 4: Simplify right side
    42,273.75x = 9,661,317,264
  5. Step 5: Solve for x
    x = 9,661,317,264/42,273.75
  6. Step 6: Final answer
    x = 228,541.76

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.