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Finding the Third Proportional to 62,775 and 135,508.50

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Solution

The third proportional to 62,775 and 135,508.50 is: 292,513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,775 : 135,508.50 = 135,508.50 : x
  2. Step 2: Convert to fraction form
    62,775/135,508.50 = 135,508.50/x
  3. Step 3: Cross multiply
    62,775x = 135,508.50 × 135,508.50
  4. Step 4: Simplify right side
    62,775x = 18,362,553,572.25
  5. Step 5: Solve for x
    x = 18,362,553,572.25/62,775
  6. Step 6: Final answer
    x = 292,513.80

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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.