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Finding the Third Proportional to 70,216 and 153,551

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Solution

The third proportional to 70,216 and 153,551 is: 335,791.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,216 : 153,551 = 153,551 : x
  2. Step 2: Convert to fraction form
    70,216/153,551 = 153,551/x
  3. Step 3: Cross multiply
    70,216x = 153,551 × 153,551
  4. Step 4: Simplify right side
    70,216x = 23,577,909,601
  5. Step 5: Solve for x
    x = 23,577,909,601/70,216
  6. Step 6: Final answer
    x = 335,791.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.