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Finding the Third Proportional to 56,302 and 119,514

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Solution

The third proportional to 56,302 and 119,514 is: 253,696.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,302 : 119,514 = 119,514 : x
  2. Step 2: Convert to fraction form
    56,302/119,514 = 119,514/x
  3. Step 3: Cross multiply
    56,302x = 119,514 × 119,514
  4. Step 4: Simplify right side
    56,302x = 14,283,596,196
  5. Step 5: Solve for x
    x = 14,283,596,196/56,302
  6. Step 6: Final answer
    x = 253,696.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.