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Finding the Third Proportional to 62,131 and 98,826

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Solution

The third proportional to 62,131 and 98,826 is: 157,193.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,131 : 98,826 = 98,826 : x
  2. Step 2: Convert to fraction form
    62,131/98,826 = 98,826/x
  3. Step 3: Cross multiply
    62,131x = 98,826 × 98,826
  4. Step 4: Simplify right side
    62,131x = 9,766,578,276
  5. Step 5: Solve for x
    x = 9,766,578,276/62,131
  6. Step 6: Final answer
    x = 157,193.32

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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.