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Finding the Third Proportional to 53,930.81 and 84,417.19

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Solution

The third proportional to 53,930.81 and 84,417.19 is: 132,137.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,930.81 : 84,417.19 = 84,417.19 : x
  2. Step 2: Convert to fraction form
    53,930.81/84,417.19 = 84,417.19/x
  3. Step 3: Cross multiply
    53,930.81x = 84,417.19 × 84,417.19
  4. Step 4: Simplify right side
    53,930.81x = 7,126,261,545.41
  5. Step 5: Solve for x
    x = 7,126,261,545.41/53,930.81
  6. Step 6: Final answer
    x = 132,137.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.