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Finding the Third Proportional to 29,657 and 65,146

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Solution

The third proportional to 29,657 and 65,146 is: 143,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,657 : 65,146 = 65,146 : x
  2. Step 2: Convert to fraction form
    29,657/65,146 = 65,146/x
  3. Step 3: Cross multiply
    29,657x = 65,146 × 65,146
  4. Step 4: Simplify right side
    29,657x = 4,244,001,316
  5. Step 5: Solve for x
    x = 4,244,001,316/29,657
  6. Step 6: Final answer
    x = 143,102.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.