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Finding the Third Proportional to 53,016 and 77,934

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Solution

The third proportional to 53,016 and 77,934 is: 114,563.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,016 : 77,934 = 77,934 : x
  2. Step 2: Convert to fraction form
    53,016/77,934 = 77,934/x
  3. Step 3: Cross multiply
    53,016x = 77,934 × 77,934
  4. Step 4: Simplify right side
    53,016x = 6,073,708,356
  5. Step 5: Solve for x
    x = 6,073,708,356/53,016
  6. Step 6: Final answer
    x = 114,563.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.