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Finding the Third Proportional to 114,313 and 154,197

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Solution

The third proportional to 114,313 and 154,197 is: 207,996.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,313 : 154,197 = 154,197 : x
  2. Step 2: Convert to fraction form
    114,313/154,197 = 154,197/x
  3. Step 3: Cross multiply
    114,313x = 154,197 × 154,197
  4. Step 4: Simplify right side
    114,313x = 23,776,714,809
  5. Step 5: Solve for x
    x = 23,776,714,809/114,313
  6. Step 6: Final answer
    x = 207,996.60

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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.