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Finding the Third Proportional to 77,924 and 110,262

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Solution

The third proportional to 77,924 and 110,262 is: 156,020.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,924 : 110,262 = 110,262 : x
  2. Step 2: Convert to fraction form
    77,924/110,262 = 110,262/x
  3. Step 3: Cross multiply
    77,924x = 110,262 × 110,262
  4. Step 4: Simplify right side
    77,924x = 12,157,708,644
  5. Step 5: Solve for x
    x = 12,157,708,644/77,924
  6. Step 6: Final answer
    x = 156,020.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.