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Finding the Third Proportional to 110,788 and 176,118

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Solution

The third proportional to 110,788 and 176,118 is: 279,972.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,788 : 176,118 = 176,118 : x
  2. Step 2: Convert to fraction form
    110,788/176,118 = 176,118/x
  3. Step 3: Cross multiply
    110,788x = 176,118 × 176,118
  4. Step 4: Simplify right side
    110,788x = 31,017,549,924
  5. Step 5: Solve for x
    x = 31,017,549,924/110,788
  6. Step 6: Final answer
    x = 279,972.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.