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Finding the Third Proportional to 88,120 and 186,719

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Solution

The third proportional to 88,120 and 186,719 is: 395,642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,120 : 186,719 = 186,719 : x
  2. Step 2: Convert to fraction form
    88,120/186,719 = 186,719/x
  3. Step 3: Cross multiply
    88,120x = 186,719 × 186,719
  4. Step 4: Simplify right side
    88,120x = 34,863,984,961
  5. Step 5: Solve for x
    x = 34,863,984,961/88,120
  6. Step 6: Final answer
    x = 395,642.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.