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Finding the Third Proportional to 53,138 and 82,299

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Solution

The third proportional to 53,138 and 82,299 is: 127,462.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,138 : 82,299 = 82,299 : x
  2. Step 2: Convert to fraction form
    53,138/82,299 = 82,299/x
  3. Step 3: Cross multiply
    53,138x = 82,299 × 82,299
  4. Step 4: Simplify right side
    53,138x = 6,773,125,401
  5. Step 5: Solve for x
    x = 6,773,125,401/53,138
  6. Step 6: Final answer
    x = 127,462.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.