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Finding the Third Proportional to 65,783 and 138,442.75

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Solution

The third proportional to 65,783 and 138,442.75 is: 291,357.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,783 : 138,442.75 = 138,442.75 : x
  2. Step 2: Convert to fraction form
    65,783/138,442.75 = 138,442.75/x
  3. Step 3: Cross multiply
    65,783x = 138,442.75 × 138,442.75
  4. Step 4: Simplify right side
    65,783x = 19,166,395,027.56
  5. Step 5: Solve for x
    x = 19,166,395,027.56/65,783
  6. Step 6: Final answer
    x = 291,357.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.