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Finding the Third Proportional to 67,826.53 and 147,326.34

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Solution

The third proportional to 67,826.53 and 147,326.34 is: 320,008.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,826.53 : 147,326.34 = 147,326.34 : x
  2. Step 2: Convert to fraction form
    67,826.53/147,326.34 = 147,326.34/x
  3. Step 3: Cross multiply
    67,826.53x = 147,326.34 × 147,326.34
  4. Step 4: Simplify right side
    67,826.53x = 21,705,051,562.74
  5. Step 5: Solve for x
    x = 21,705,051,562.74/67,826.53
  6. Step 6: Final answer
    x = 320,008.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.