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Finding the Third Proportional to 53,255 and 75,697

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Solution

The third proportional to 53,255 and 75,697 is: 107,596.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,255 : 75,697 = 75,697 : x
  2. Step 2: Convert to fraction form
    53,255/75,697 = 75,697/x
  3. Step 3: Cross multiply
    53,255x = 75,697 × 75,697
  4. Step 4: Simplify right side
    53,255x = 5,730,035,809
  5. Step 5: Solve for x
    x = 5,730,035,809/53,255
  6. Step 6: Final answer
    x = 107,596.20

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.