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Finding the Third Proportional to 63,963 and 102,710

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Solution

The third proportional to 63,963 and 102,710 is: 164,928.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,963 : 102,710 = 102,710 : x
  2. Step 2: Convert to fraction form
    63,963/102,710 = 102,710/x
  3. Step 3: Cross multiply
    63,963x = 102,710 × 102,710
  4. Step 4: Simplify right side
    63,963x = 10,549,344,100
  5. Step 5: Solve for x
    x = 10,549,344,100/63,963
  6. Step 6: Final answer
    x = 164,928.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.