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Finding the Third Proportional to 53,466 and 115,182

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Solution

The third proportional to 53,466 and 115,182 is: 248,137.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,466 : 115,182 = 115,182 : x
  2. Step 2: Convert to fraction form
    53,466/115,182 = 115,182/x
  3. Step 3: Cross multiply
    53,466x = 115,182 × 115,182
  4. Step 4: Simplify right side
    53,466x = 13,266,893,124
  5. Step 5: Solve for x
    x = 13,266,893,124/53,466
  6. Step 6: Final answer
    x = 248,137.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.