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Finding the Third Proportional to 70,000 and 151,232

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Solution

The third proportional to 70,000 and 151,232 is: 326,730.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,000 : 151,232 = 151,232 : x
  2. Step 2: Convert to fraction form
    70,000/151,232 = 151,232/x
  3. Step 3: Cross multiply
    70,000x = 151,232 × 151,232
  4. Step 4: Simplify right side
    70,000x = 22,871,117,824
  5. Step 5: Solve for x
    x = 22,871,117,824/70,000
  6. Step 6: Final answer
    x = 326,730.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.