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Finding the Third Proportional to 62,180 and 98,889

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Solution

The third proportional to 62,180 and 98,889 is: 157,269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,180 : 98,889 = 98,889 : x
  2. Step 2: Convert to fraction form
    62,180/98,889 = 98,889/x
  3. Step 3: Cross multiply
    62,180x = 98,889 × 98,889
  4. Step 4: Simplify right side
    62,180x = 9,779,034,321
  5. Step 5: Solve for x
    x = 9,779,034,321/62,180
  6. Step 6: Final answer
    x = 157,269.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.