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Finding the Third Proportional to 53,114 and 77,479

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Solution

The third proportional to 53,114 and 77,479 is: 113,020.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,114 : 77,479 = 77,479 : x
  2. Step 2: Convert to fraction form
    53,114/77,479 = 77,479/x
  3. Step 3: Cross multiply
    53,114x = 77,479 × 77,479
  4. Step 4: Simplify right side
    53,114x = 6,002,995,441
  5. Step 5: Solve for x
    x = 6,002,995,441/53,114
  6. Step 6: Final answer
    x = 113,020.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.