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Finding the Third Proportional to 52,639 and 79,586

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Solution

The third proportional to 52,639 and 79,586 is: 120,327.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,639 : 79,586 = 79,586 : x
  2. Step 2: Convert to fraction form
    52,639/79,586 = 79,586/x
  3. Step 3: Cross multiply
    52,639x = 79,586 × 79,586
  4. Step 4: Simplify right side
    52,639x = 6,333,931,396
  5. Step 5: Solve for x
    x = 6,333,931,396/52,639
  6. Step 6: Final answer
    x = 120,327.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.