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Finding the Third Proportional to 99,084 and 153,489

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Solution

The third proportional to 99,084 and 153,489 is: 237,766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,084 : 153,489 = 153,489 : x
  2. Step 2: Convert to fraction form
    99,084/153,489 = 153,489/x
  3. Step 3: Cross multiply
    99,084x = 153,489 × 153,489
  4. Step 4: Simplify right side
    99,084x = 23,558,873,121
  5. Step 5: Solve for x
    x = 23,558,873,121/99,084
  6. Step 6: Final answer
    x = 237,766.67

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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.