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Finding the Third Proportional to 120,621.23 and 177,422.91

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Solution

The third proportional to 120,621.23 and 177,422.91 is: 260,973.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,621.23 : 177,422.91 = 177,422.91 : x
  2. Step 2: Convert to fraction form
    120,621.23/177,422.91 = 177,422.91/x
  3. Step 3: Cross multiply
    120,621.23x = 177,422.91 × 177,422.91
  4. Step 4: Simplify right side
    120,621.23x = 31,478,887,662.20
  5. Step 5: Solve for x
    x = 31,478,887,662.20/120,621.23
  6. Step 6: Final answer
    x = 260,973.02

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.