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Finding the Third Proportional to 110,720.25 and 176,261.06

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Solution

The third proportional to 110,720.25 and 176,261.06 is: 280,598.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,720.25 : 176,261.06 = 176,261.06 : x
  2. Step 2: Convert to fraction form
    110,720.25/176,261.06 = 176,261.06/x
  3. Step 3: Cross multiply
    110,720.25x = 176,261.06 × 176,261.06
  4. Step 4: Simplify right side
    110,720.25x = 31,067,962,153.63
  5. Step 5: Solve for x
    x = 31,067,962,153.63/110,720.25
  6. Step 6: Final answer
    x = 280,598.74

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.