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Finding the Third Proportional to 102,003.05 and 161,479.20

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Solution

The third proportional to 102,003.05 and 161,479.20 is: 255,634.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,003.05 : 161,479.20 = 161,479.20 : x
  2. Step 2: Convert to fraction form
    102,003.05/161,479.20 = 161,479.20/x
  3. Step 3: Cross multiply
    102,003.05x = 161,479.20 × 161,479.20
  4. Step 4: Simplify right side
    102,003.05x = 26,075,530,518.77
  5. Step 5: Solve for x
    x = 26,075,530,518.77/102,003.05
  6. Step 6: Final answer
    x = 255,634.82

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.