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Finding the Third Proportional to 88,116 and 125,613

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Solution

The third proportional to 88,116 and 125,613 is: 179,066.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,116 : 125,613 = 125,613 : x
  2. Step 2: Convert to fraction form
    88,116/125,613 = 125,613/x
  3. Step 3: Cross multiply
    88,116x = 125,613 × 125,613
  4. Step 4: Simplify right side
    88,116x = 15,778,625,769
  5. Step 5: Solve for x
    x = 15,778,625,769/88,116
  6. Step 6: Final answer
    x = 179,066.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.