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Finding the Third Proportional to 29,565 and 68,373

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Solution

The third proportional to 29,565 and 68,373 is: 158,121.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,565 : 68,373 = 68,373 : x
  2. Step 2: Convert to fraction form
    29,565/68,373 = 68,373/x
  3. Step 3: Cross multiply
    29,565x = 68,373 × 68,373
  4. Step 4: Simplify right side
    29,565x = 4,674,867,129
  5. Step 5: Solve for x
    x = 4,674,867,129/29,565
  6. Step 6: Final answer
    x = 158,121.67

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.