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Finding the Third Proportional to 59,833.50 and 121,629

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Solution

The third proportional to 59,833.50 and 121,629 is: 247,246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,833.50 : 121,629 = 121,629 : x
  2. Step 2: Convert to fraction form
    59,833.50/121,629 = 121,629/x
  3. Step 3: Cross multiply
    59,833.50x = 121,629 × 121,629
  4. Step 4: Simplify right side
    59,833.50x = 14,793,613,641
  5. Step 5: Solve for x
    x = 14,793,613,641/59,833.50
  6. Step 6: Final answer
    x = 247,246.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.