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Finding the Third Proportional to 72,060 and 115,782

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Solution

The third proportional to 72,060 and 115,782 is: 186,032.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,060 : 115,782 = 115,782 : x
  2. Step 2: Convert to fraction form
    72,060/115,782 = 115,782/x
  3. Step 3: Cross multiply
    72,060x = 115,782 × 115,782
  4. Step 4: Simplify right side
    72,060x = 13,405,471,524
  5. Step 5: Solve for x
    x = 13,405,471,524/72,060
  6. Step 6: Final answer
    x = 186,032.08

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.