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Finding the Third Proportional to 61,083 and 87,186

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Solution

The third proportional to 61,083 and 87,186 is: 124,443.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,083 : 87,186 = 87,186 : x
  2. Step 2: Convert to fraction form
    61,083/87,186 = 87,186/x
  3. Step 3: Cross multiply
    61,083x = 87,186 × 87,186
  4. Step 4: Simplify right side
    61,083x = 7,601,398,596
  5. Step 5: Solve for x
    x = 7,601,398,596/61,083
  6. Step 6: Final answer
    x = 124,443.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.