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Finding the Third Proportional to 63,509 and 138,682

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Solution

The third proportional to 63,509 and 138,682 is: 302,834.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,509 : 138,682 = 138,682 : x
  2. Step 2: Convert to fraction form
    63,509/138,682 = 138,682/x
  3. Step 3: Cross multiply
    63,509x = 138,682 × 138,682
  4. Step 4: Simplify right side
    63,509x = 19,232,697,124
  5. Step 5: Solve for x
    x = 19,232,697,124/63,509
  6. Step 6: Final answer
    x = 302,834.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.