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Finding the Third Proportional to 62,496 and 97,722

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Solution

The third proportional to 62,496 and 97,722 is: 152,803.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,496 : 97,722 = 97,722 : x
  2. Step 2: Convert to fraction form
    62,496/97,722 = 97,722/x
  3. Step 3: Cross multiply
    62,496x = 97,722 × 97,722
  4. Step 4: Simplify right side
    62,496x = 9,549,589,284
  5. Step 5: Solve for x
    x = 9,549,589,284/62,496
  6. Step 6: Final answer
    x = 152,803.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.