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Finding the Third Proportional to 62,190 and 98,633

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Solution

The third proportional to 62,190 and 98,633 is: 156,431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,190 : 98,633 = 98,633 : x
  2. Step 2: Convert to fraction form
    62,190/98,633 = 98,633/x
  3. Step 3: Cross multiply
    62,190x = 98,633 × 98,633
  4. Step 4: Simplify right side
    62,190x = 9,728,468,689
  5. Step 5: Solve for x
    x = 9,728,468,689/62,190
  6. Step 6: Final answer
    x = 156,431.40

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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.