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Finding the Third Proportional to 53,217.56 and 116,641.13

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Solution

The third proportional to 53,217.56 and 116,641.13 is: 255,651.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,217.56 : 116,641.13 = 116,641.13 : x
  2. Step 2: Convert to fraction form
    53,217.56/116,641.13 = 116,641.13/x
  3. Step 3: Cross multiply
    53,217.56x = 116,641.13 × 116,641.13
  4. Step 4: Simplify right side
    53,217.56x = 13,605,152,041.27
  5. Step 5: Solve for x
    x = 13,605,152,041.27/53,217.56
  6. Step 6: Final answer
    x = 255,651.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.