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Finding the Third Proportional to 112,999 and 153,292

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Solution

The third proportional to 112,999 and 153,292 is: 207,952.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,999 : 153,292 = 153,292 : x
  2. Step 2: Convert to fraction form
    112,999/153,292 = 153,292/x
  3. Step 3: Cross multiply
    112,999x = 153,292 × 153,292
  4. Step 4: Simplify right side
    112,999x = 23,498,437,264
  5. Step 5: Solve for x
    x = 23,498,437,264/112,999
  6. Step 6: Final answer
    x = 207,952.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.