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Finding the Third Proportional to 62,827.50 and 135,497

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Solution

The third proportional to 62,827.50 and 135,497 is: 292,219.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,827.50 : 135,497 = 135,497 : x
  2. Step 2: Convert to fraction form
    62,827.50/135,497 = 135,497/x
  3. Step 3: Cross multiply
    62,827.50x = 135,497 × 135,497
  4. Step 4: Simplify right side
    62,827.50x = 18,359,437,009
  5. Step 5: Solve for x
    x = 18,359,437,009/62,827.50
  6. Step 6: Final answer
    x = 292,219.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.