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Finding the Third Proportional to 70,125 and 153,099

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Solution

The third proportional to 70,125 and 153,099 is: 334,250.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,125 : 153,099 = 153,099 : x
  2. Step 2: Convert to fraction form
    70,125/153,099 = 153,099/x
  3. Step 3: Cross multiply
    70,125x = 153,099 × 153,099
  4. Step 4: Simplify right side
    70,125x = 23,439,303,801
  5. Step 5: Solve for x
    x = 23,439,303,801/70,125
  6. Step 6: Final answer
    x = 334,250.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.