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Finding the Third Proportional to 99,798 and 149,685

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Solution

The third proportional to 99,798 and 149,685 is: 224,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,798 : 149,685 = 149,685 : x
  2. Step 2: Convert to fraction form
    99,798/149,685 = 149,685/x
  3. Step 3: Cross multiply
    99,798x = 149,685 × 149,685
  4. Step 4: Simplify right side
    99,798x = 22,405,599,225
  5. Step 5: Solve for x
    x = 22,405,599,225/99,798
  6. Step 6: Final answer
    x = 224,509.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.