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Finding the Third Proportional to 61,530 and 134,178

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Solution

The third proportional to 61,530 and 134,178 is: 292,600.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,530 : 134,178 = 134,178 : x
  2. Step 2: Convert to fraction form
    61,530/134,178 = 134,178/x
  3. Step 3: Cross multiply
    61,530x = 134,178 × 134,178
  4. Step 4: Simplify right side
    61,530x = 18,003,735,684
  5. Step 5: Solve for x
    x = 18,003,735,684/61,530
  6. Step 6: Final answer
    x = 292,600.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.