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Finding the Third Proportional to 88,724 and 191,659

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Solution

The third proportional to 88,724 and 191,659 is: 414,016.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,724 : 191,659 = 191,659 : x
  2. Step 2: Convert to fraction form
    88,724/191,659 = 191,659/x
  3. Step 3: Cross multiply
    88,724x = 191,659 × 191,659
  4. Step 4: Simplify right side
    88,724x = 36,733,172,281
  5. Step 5: Solve for x
    x = 36,733,172,281/88,724
  6. Step 6: Final answer
    x = 414,016.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.