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Finding the Third Proportional to 53,259.47 and 116,052.19

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Solution

The third proportional to 53,259.47 and 116,052.19 is: 252,877.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,259.47 : 116,052.19 = 116,052.19 : x
  2. Step 2: Convert to fraction form
    53,259.47/116,052.19 = 116,052.19/x
  3. Step 3: Cross multiply
    53,259.47x = 116,052.19 × 116,052.19
  4. Step 4: Simplify right side
    53,259.47x = 13,468,110,223.54
  5. Step 5: Solve for x
    x = 13,468,110,223.54/53,259.47
  6. Step 6: Final answer
    x = 252,877.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.