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Finding the Third Proportional to 85,461.75 and 124,444.69

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Solution

The third proportional to 85,461.75 and 124,444.69 is: 181,209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,461.75 : 124,444.69 = 124,444.69 : x
  2. Step 2: Convert to fraction form
    85,461.75/124,444.69 = 124,444.69/x
  3. Step 3: Cross multiply
    85,461.75x = 124,444.69 × 124,444.69
  4. Step 4: Simplify right side
    85,461.75x = 15,486,480,246.97
  5. Step 5: Solve for x
    x = 15,486,480,246.97/85,461.75
  6. Step 6: Final answer
    x = 181,209.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.