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Finding the Third Proportional to 103,447.13 and 158,171.06

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Solution

The third proportional to 103,447.13 and 158,171.06 is: 241,844.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,447.13 : 158,171.06 = 158,171.06 : x
  2. Step 2: Convert to fraction form
    103,447.13/158,171.06 = 158,171.06/x
  3. Step 3: Cross multiply
    103,447.13x = 158,171.06 × 158,171.06
  4. Step 4: Simplify right side
    103,447.13x = 25,018,085,012.38
  5. Step 5: Solve for x
    x = 25,018,085,012.38/103,447.13
  6. Step 6: Final answer
    x = 241,844.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.