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Finding the Third Proportional to 75,599.63 and 162,406.13

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Solution

The third proportional to 75,599.63 and 162,406.13 is: 348,887.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,599.63 : 162,406.13 = 162,406.13 : x
  2. Step 2: Convert to fraction form
    75,599.63/162,406.13 = 162,406.13/x
  3. Step 3: Cross multiply
    75,599.63x = 162,406.13 × 162,406.13
  4. Step 4: Simplify right side
    75,599.63x = 26,375,749,437.52
  5. Step 5: Solve for x
    x = 26,375,749,437.52/75,599.63
  6. Step 6: Final answer
    x = 348,887.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.