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Finding the Third Proportional to 53,768 and 80,854

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Solution

The third proportional to 53,768 and 80,854 is: 121,584.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,768 : 80,854 = 80,854 : x
  2. Step 2: Convert to fraction form
    53,768/80,854 = 80,854/x
  3. Step 3: Cross multiply
    53,768x = 80,854 × 80,854
  4. Step 4: Simplify right side
    53,768x = 6,537,369,316
  5. Step 5: Solve for x
    x = 6,537,369,316/53,768
  6. Step 6: Final answer
    x = 121,584.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.