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Finding the Third Proportional to 61,952 and 135,764

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Solution

The third proportional to 61,952 and 135,764 is: 297,518.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,952 : 135,764 = 135,764 : x
  2. Step 2: Convert to fraction form
    61,952/135,764 = 135,764/x
  3. Step 3: Cross multiply
    61,952x = 135,764 × 135,764
  4. Step 4: Simplify right side
    61,952x = 18,431,863,696
  5. Step 5: Solve for x
    x = 18,431,863,696/61,952
  6. Step 6: Final answer
    x = 297,518.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.