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Finding the Third Proportional to 122,132 and 265,153

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Solution

The third proportional to 122,132 and 265,153 is: 575,656.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,132 : 265,153 = 265,153 : x
  2. Step 2: Convert to fraction form
    122,132/265,153 = 265,153/x
  3. Step 3: Cross multiply
    122,132x = 265,153 × 265,153
  4. Step 4: Simplify right side
    122,132x = 70,306,113,409
  5. Step 5: Solve for x
    x = 70,306,113,409/122,132
  6. Step 6: Final answer
    x = 575,656.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.