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Finding the Third Proportional to 52,811.16 and 117,430.59

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Solution

The third proportional to 52,811.16 and 117,430.59 is: 261,118.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,811.16 : 117,430.59 = 117,430.59 : x
  2. Step 2: Convert to fraction form
    52,811.16/117,430.59 = 117,430.59/x
  3. Step 3: Cross multiply
    52,811.16x = 117,430.59 × 117,430.59
  4. Step 4: Simplify right side
    52,811.16x = 13,789,944,348.48
  5. Step 5: Solve for x
    x = 13,789,944,348.48/52,811.16
  6. Step 6: Final answer
    x = 261,118.02

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.