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Finding the Third Proportional to 53,534 and 79,892

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Solution

The third proportional to 53,534 and 79,892 is: 119,227.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,534 : 79,892 = 79,892 : x
  2. Step 2: Convert to fraction form
    53,534/79,892 = 79,892/x
  3. Step 3: Cross multiply
    53,534x = 79,892 × 79,892
  4. Step 4: Simplify right side
    53,534x = 6,382,731,664
  5. Step 5: Solve for x
    x = 6,382,731,664/53,534
  6. Step 6: Final answer
    x = 119,227.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.