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Finding the Third Proportional to 115,224 and 154,980

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Solution

The third proportional to 115,224 and 154,980 is: 208,453.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,224 : 154,980 = 154,980 : x
  2. Step 2: Convert to fraction form
    115,224/154,980 = 154,980/x
  3. Step 3: Cross multiply
    115,224x = 154,980 × 154,980
  4. Step 4: Simplify right side
    115,224x = 24,018,800,400
  5. Step 5: Solve for x
    x = 24,018,800,400/115,224
  6. Step 6: Final answer
    x = 208,453.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.