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Finding the Third Proportional to 101,216 and 151,356

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Solution

The third proportional to 101,216 and 151,356 is: 226,334.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,216 : 151,356 = 151,356 : x
  2. Step 2: Convert to fraction form
    101,216/151,356 = 151,356/x
  3. Step 3: Cross multiply
    101,216x = 151,356 × 151,356
  4. Step 4: Simplify right side
    101,216x = 22,908,638,736
  5. Step 5: Solve for x
    x = 22,908,638,736/101,216
  6. Step 6: Final answer
    x = 226,334.16

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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.