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Finding the Third Proportional to 53,451 and 84,633

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Solution

The third proportional to 53,451 and 84,633 is: 134,005.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,451 : 84,633 = 84,633 : x
  2. Step 2: Convert to fraction form
    53,451/84,633 = 84,633/x
  3. Step 3: Cross multiply
    53,451x = 84,633 × 84,633
  4. Step 4: Simplify right side
    53,451x = 7,162,744,689
  5. Step 5: Solve for x
    x = 7,162,744,689/53,451
  6. Step 6: Final answer
    x = 134,005.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.