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Finding the Third Proportional to 29,654 and 65,140

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Solution

The third proportional to 29,654 and 65,140 is: 143,090.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,654 : 65,140 = 65,140 : x
  2. Step 2: Convert to fraction form
    29,654/65,140 = 65,140/x
  3. Step 3: Cross multiply
    29,654x = 65,140 × 65,140
  4. Step 4: Simplify right side
    29,654x = 4,243,219,600
  5. Step 5: Solve for x
    x = 4,243,219,600/29,654
  6. Step 6: Final answer
    x = 143,090.97

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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.