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Finding the Third Proportional to 59,998 and 131,292

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Solution

The third proportional to 59,998 and 131,292 is: 287,302.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,998 : 131,292 = 131,292 : x
  2. Step 2: Convert to fraction form
    59,998/131,292 = 131,292/x
  3. Step 3: Cross multiply
    59,998x = 131,292 × 131,292
  4. Step 4: Simplify right side
    59,998x = 17,237,589,264
  5. Step 5: Solve for x
    x = 17,237,589,264/59,998
  6. Step 6: Final answer
    x = 287,302.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.