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Finding the Third Proportional to 48,602 and 79,362

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Solution

The third proportional to 48,602 and 79,362 is: 129,589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,602 : 79,362 = 79,362 : x
  2. Step 2: Convert to fraction form
    48,602/79,362 = 79,362/x
  3. Step 3: Cross multiply
    48,602x = 79,362 × 79,362
  4. Step 4: Simplify right side
    48,602x = 6,298,327,044
  5. Step 5: Solve for x
    x = 6,298,327,044/48,602
  6. Step 6: Final answer
    x = 129,589.87

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.