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Finding the Third Proportional to 70,002 and 164,548.13

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Solution

The third proportional to 70,002 and 164,548.13 is: 386,790.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,002 : 164,548.13 = 164,548.13 : x
  2. Step 2: Convert to fraction form
    70,002/164,548.13 = 164,548.13/x
  3. Step 3: Cross multiply
    70,002x = 164,548.13 × 164,548.13
  4. Step 4: Simplify right side
    70,002x = 27,076,085,441.02
  5. Step 5: Solve for x
    x = 27,076,085,441.02/70,002
  6. Step 6: Final answer
    x = 386,790.17

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.