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Finding the Third Proportional to 44,058 and 68,246

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Solution

The third proportional to 44,058 and 68,246 is: 105,713.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,058 : 68,246 = 68,246 : x
  2. Step 2: Convert to fraction form
    44,058/68,246 = 68,246/x
  3. Step 3: Cross multiply
    44,058x = 68,246 × 68,246
  4. Step 4: Simplify right side
    44,058x = 4,657,516,516
  5. Step 5: Solve for x
    x = 4,657,516,516/44,058
  6. Step 6: Final answer
    x = 105,713.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.