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Finding the Third Proportional to 53,363.81 and 112,605.19

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Solution

The third proportional to 53,363.81 and 112,605.19 is: 237,612.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,363.81 : 112,605.19 = 112,605.19 : x
  2. Step 2: Convert to fraction form
    53,363.81/112,605.19 = 112,605.19/x
  3. Step 3: Cross multiply
    53,363.81x = 112,605.19 × 112,605.19
  4. Step 4: Simplify right side
    53,363.81x = 12,679,928,251.91
  5. Step 5: Solve for x
    x = 12,679,928,251.91/53,363.81
  6. Step 6: Final answer
    x = 237,612.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.