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Finding the Third Proportional to 63,506 and 135,759

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Solution

The third proportional to 63,506 and 135,759 is: 290,216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,506 : 135,759 = 135,759 : x
  2. Step 2: Convert to fraction form
    63,506/135,759 = 135,759/x
  3. Step 3: Cross multiply
    63,506x = 135,759 × 135,759
  4. Step 4: Simplify right side
    63,506x = 18,430,506,081
  5. Step 5: Solve for x
    x = 18,430,506,081/63,506
  6. Step 6: Final answer
    x = 290,216.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.