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Finding the Third Proportional to 89,720 and 188,730

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Solution

The third proportional to 89,720 and 188,730 is: 397,001.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,720 : 188,730 = 188,730 : x
  2. Step 2: Convert to fraction form
    89,720/188,730 = 188,730/x
  3. Step 3: Cross multiply
    89,720x = 188,730 × 188,730
  4. Step 4: Simplify right side
    89,720x = 35,619,012,900
  5. Step 5: Solve for x
    x = 35,619,012,900/89,720
  6. Step 6: Final answer
    x = 397,001.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.