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Finding the Third Proportional to 66,513 and 103,058

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Solution

The third proportional to 66,513 and 103,058 is: 159,682.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,513 : 103,058 = 103,058 : x
  2. Step 2: Convert to fraction form
    66,513/103,058 = 103,058/x
  3. Step 3: Cross multiply
    66,513x = 103,058 × 103,058
  4. Step 4: Simplify right side
    66,513x = 10,620,951,364
  5. Step 5: Solve for x
    x = 10,620,951,364/66,513
  6. Step 6: Final answer
    x = 159,682.34

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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.