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Finding the Third Proportional to 84,846.94 and 125,290.13

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Solution

The third proportional to 84,846.94 and 125,290.13 is: 185,010.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,846.94 : 125,290.13 = 125,290.13 : x
  2. Step 2: Convert to fraction form
    84,846.94/125,290.13 = 125,290.13/x
  3. Step 3: Cross multiply
    84,846.94x = 125,290.13 × 125,290.13
  4. Step 4: Simplify right side
    84,846.94x = 15,697,615,422.52
  5. Step 5: Solve for x
    x = 15,697,615,422.52/84,846.94
  6. Step 6: Final answer
    x = 185,010.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.