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Finding the Third Proportional to 99,062 and 153,462

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Solution

The third proportional to 99,062 and 153,462 is: 237,735.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,062 : 153,462 = 153,462 : x
  2. Step 2: Convert to fraction form
    99,062/153,462 = 153,462/x
  3. Step 3: Cross multiply
    99,062x = 153,462 × 153,462
  4. Step 4: Simplify right side
    99,062x = 23,550,585,444
  5. Step 5: Solve for x
    x = 23,550,585,444/99,062
  6. Step 6: Final answer
    x = 237,735.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.