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Finding the Third Proportional to 85,373 and 125,292

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Solution

The third proportional to 85,373 and 125,292 is: 183,876.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,373 : 125,292 = 125,292 : x
  2. Step 2: Convert to fraction form
    85,373/125,292 = 125,292/x
  3. Step 3: Cross multiply
    85,373x = 125,292 × 125,292
  4. Step 4: Simplify right side
    85,373x = 15,698,085,264
  5. Step 5: Solve for x
    x = 15,698,085,264/85,373
  6. Step 6: Final answer
    x = 183,876.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.