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Finding the Third Proportional to 102,795.75 and 158,203.13

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Solution

The third proportional to 102,795.75 and 158,203.13 is: 243,475.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,795.75 : 158,203.13 = 158,203.13 : x
  2. Step 2: Convert to fraction form
    102,795.75/158,203.13 = 158,203.13/x
  3. Step 3: Cross multiply
    102,795.75x = 158,203.13 × 158,203.13
  4. Step 4: Simplify right side
    102,795.75x = 25,028,228,759.77
  5. Step 5: Solve for x
    x = 25,028,228,759.77/102,795.75
  6. Step 6: Final answer
    x = 243,475.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.