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Finding the Third Proportional to 83,984.63 and 127,309.50

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Solution

The third proportional to 83,984.63 and 127,309.50 is: 192,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,984.63 : 127,309.50 = 127,309.50 : x
  2. Step 2: Convert to fraction form
    83,984.63/127,309.50 = 127,309.50/x
  3. Step 3: Cross multiply
    83,984.63x = 127,309.50 × 127,309.50
  4. Step 4: Simplify right side
    83,984.63x = 16,207,708,790.25
  5. Step 5: Solve for x
    x = 16,207,708,790.25/83,984.63
  6. Step 6: Final answer
    x = 192,984.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.