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Finding the Third Proportional to 53,653 and 116,539

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Solution

The third proportional to 53,653 and 116,539 is: 253,132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,653 : 116,539 = 116,539 : x
  2. Step 2: Convert to fraction form
    53,653/116,539 = 116,539/x
  3. Step 3: Cross multiply
    53,653x = 116,539 × 116,539
  4. Step 4: Simplify right side
    53,653x = 13,581,338,521
  5. Step 5: Solve for x
    x = 13,581,338,521/53,653
  6. Step 6: Final answer
    x = 253,132.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.