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Finding the Third Proportional to 83,849.63 and 124,633.69

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Solution

The third proportional to 83,849.63 and 124,633.69 is: 185,254.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,849.63 : 124,633.69 = 124,633.69 : x
  2. Step 2: Convert to fraction form
    83,849.63/124,633.69 = 124,633.69/x
  3. Step 3: Cross multiply
    83,849.63x = 124,633.69 × 124,633.69
  4. Step 4: Simplify right side
    83,849.63x = 15,533,556,059.85
  5. Step 5: Solve for x
    x = 15,533,556,059.85/83,849.63
  6. Step 6: Final answer
    x = 185,254.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.