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Finding the Third Proportional to 91,058 and 185,729

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Solution

The third proportional to 91,058 and 185,729 is: 378,827.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,058 : 185,729 = 185,729 : x
  2. Step 2: Convert to fraction form
    91,058/185,729 = 185,729/x
  3. Step 3: Cross multiply
    91,058x = 185,729 × 185,729
  4. Step 4: Simplify right side
    91,058x = 34,495,261,441
  5. Step 5: Solve for x
    x = 34,495,261,441/91,058
  6. Step 6: Final answer
    x = 378,827.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.