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Finding the Third Proportional to 59,189 and 79,746

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Solution

The third proportional to 59,189 and 79,746 is: 107,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,189 : 79,746 = 79,746 : x
  2. Step 2: Convert to fraction form
    59,189/79,746 = 79,746/x
  3. Step 3: Cross multiply
    59,189x = 79,746 × 79,746
  4. Step 4: Simplify right side
    59,189x = 6,359,424,516
  5. Step 5: Solve for x
    x = 6,359,424,516/59,189
  6. Step 6: Final answer
    x = 107,442.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.