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Finding the Third Proportional to 53,149 and 78,697

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Solution

The third proportional to 53,149 and 78,697 is: 116,525.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,149 : 78,697 = 78,697 : x
  2. Step 2: Convert to fraction form
    53,149/78,697 = 78,697/x
  3. Step 3: Cross multiply
    53,149x = 78,697 × 78,697
  4. Step 4: Simplify right side
    53,149x = 6,193,217,809
  5. Step 5: Solve for x
    x = 6,193,217,809/53,149
  6. Step 6: Final answer
    x = 116,525.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.