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Finding the Third Proportional to 115,803 and 168,427.13

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Solution

The third proportional to 115,803 and 168,427.13 is: 244,965.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,803 : 168,427.13 = 168,427.13 : x
  2. Step 2: Convert to fraction form
    115,803/168,427.13 = 168,427.13/x
  3. Step 3: Cross multiply
    115,803x = 168,427.13 × 168,427.13
  4. Step 4: Simplify right side
    115,803x = 28,367,696,435.77
  5. Step 5: Solve for x
    x = 28,367,696,435.77/115,803
  6. Step 6: Final answer
    x = 244,965.13

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.