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Finding the Third Proportional to 84,681 and 180,610

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Solution

The third proportional to 84,681 and 180,610 is: 385,210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,681 : 180,610 = 180,610 : x
  2. Step 2: Convert to fraction form
    84,681/180,610 = 180,610/x
  3. Step 3: Cross multiply
    84,681x = 180,610 × 180,610
  4. Step 4: Simplify right side
    84,681x = 32,619,972,100
  5. Step 5: Solve for x
    x = 32,619,972,100/84,681
  6. Step 6: Final answer
    x = 385,210.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.