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Finding the Third Proportional to 77,494 and 119,746

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Solution

The third proportional to 77,494 and 119,746 is: 185,035.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,494 : 119,746 = 119,746 : x
  2. Step 2: Convert to fraction form
    77,494/119,746 = 119,746/x
  3. Step 3: Cross multiply
    77,494x = 119,746 × 119,746
  4. Step 4: Simplify right side
    77,494x = 14,339,104,516
  5. Step 5: Solve for x
    x = 14,339,104,516/77,494
  6. Step 6: Final answer
    x = 185,035.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.