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Finding the Third Proportional to 68,031 and 158,152.50

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Solution

The third proportional to 68,031 and 158,152.50 is: 367,659.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,031 : 158,152.50 = 158,152.50 : x
  2. Step 2: Convert to fraction form
    68,031/158,152.50 = 158,152.50/x
  3. Step 3: Cross multiply
    68,031x = 158,152.50 × 158,152.50
  4. Step 4: Simplify right side
    68,031x = 25,012,213,256.25
  5. Step 5: Solve for x
    x = 25,012,213,256.25/68,031
  6. Step 6: Final answer
    x = 367,659.06

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.