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Finding the Third Proportional to 52,764 and 124,557

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Solution

The third proportional to 52,764 and 124,557 is: 294,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,764 : 124,557 = 124,557 : x
  2. Step 2: Convert to fraction form
    52,764/124,557 = 124,557/x
  3. Step 3: Cross multiply
    52,764x = 124,557 × 124,557
  4. Step 4: Simplify right side
    52,764x = 15,514,446,249
  5. Step 5: Solve for x
    x = 15,514,446,249/52,764
  6. Step 6: Final answer
    x = 294,034.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.