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Finding the Third Proportional to 77,496 and 119,748

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Solution

The third proportional to 77,496 and 119,748 is: 185,036.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,496 : 119,748 = 119,748 : x
  2. Step 2: Convert to fraction form
    77,496/119,748 = 119,748/x
  3. Step 3: Cross multiply
    77,496x = 119,748 × 119,748
  4. Step 4: Simplify right side
    77,496x = 14,339,583,504
  5. Step 5: Solve for x
    x = 14,339,583,504/77,496
  6. Step 6: Final answer
    x = 185,036.43

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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.