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Finding the Third Proportional to 114,691 and 158,482

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Solution

The third proportional to 114,691 and 158,482 is: 218,993.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,691 : 158,482 = 158,482 : x
  2. Step 2: Convert to fraction form
    114,691/158,482 = 158,482/x
  3. Step 3: Cross multiply
    114,691x = 158,482 × 158,482
  4. Step 4: Simplify right side
    114,691x = 25,116,544,324
  5. Step 5: Solve for x
    x = 25,116,544,324/114,691
  6. Step 6: Final answer
    x = 218,993.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.