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Finding the Third Proportional to 78,506 and 163,653

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Solution

The third proportional to 78,506 and 163,653 is: 341,149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,506 : 163,653 = 163,653 : x
  2. Step 2: Convert to fraction form
    78,506/163,653 = 163,653/x
  3. Step 3: Cross multiply
    78,506x = 163,653 × 163,653
  4. Step 4: Simplify right side
    78,506x = 26,782,304,409
  5. Step 5: Solve for x
    x = 26,782,304,409/78,506
  6. Step 6: Final answer
    x = 341,149.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.