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Finding the Third Proportional to 99,138 and 153,558

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Solution

The third proportional to 99,138 and 153,558 is: 237,850.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,138 : 153,558 = 153,558 : x
  2. Step 2: Convert to fraction form
    99,138/153,558 = 153,558/x
  3. Step 3: Cross multiply
    99,138x = 153,558 × 153,558
  4. Step 4: Simplify right side
    99,138x = 23,580,059,364
  5. Step 5: Solve for x
    x = 23,580,059,364/99,138
  6. Step 6: Final answer
    x = 237,850.87

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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.