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Finding the Third Proportional to 118,396 and 181,117

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Solution

The third proportional to 118,396 and 181,117 is: 277,064.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,396 : 181,117 = 181,117 : x
  2. Step 2: Convert to fraction form
    118,396/181,117 = 181,117/x
  3. Step 3: Cross multiply
    118,396x = 181,117 × 181,117
  4. Step 4: Simplify right side
    118,396x = 32,803,367,689
  5. Step 5: Solve for x
    x = 32,803,367,689/118,396
  6. Step 6: Final answer
    x = 277,064.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.