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Finding the Third Proportional to 54,496 and 85,633

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Solution

The third proportional to 54,496 and 85,633 is: 134,560.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,496 : 85,633 = 85,633 : x
  2. Step 2: Convert to fraction form
    54,496/85,633 = 85,633/x
  3. Step 3: Cross multiply
    54,496x = 85,633 × 85,633
  4. Step 4: Simplify right side
    54,496x = 7,333,010,689
  5. Step 5: Solve for x
    x = 7,333,010,689/54,496
  6. Step 6: Final answer
    x = 134,560.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.