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Finding the Third Proportional to 63,178 and 98,568

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Solution

The third proportional to 63,178 and 98,568 is: 153,782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,178 : 98,568 = 98,568 : x
  2. Step 2: Convert to fraction form
    63,178/98,568 = 98,568/x
  3. Step 3: Cross multiply
    63,178x = 98,568 × 98,568
  4. Step 4: Simplify right side
    63,178x = 9,715,650,624
  5. Step 5: Solve for x
    x = 9,715,650,624/63,178
  6. Step 6: Final answer
    x = 153,782.18

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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.