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Finding the Third Proportional to 59,230.31 and 139,822.59

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Solution

The third proportional to 59,230.31 and 139,822.59 is: 330,073.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,230.31 : 139,822.59 = 139,822.59 : x
  2. Step 2: Convert to fraction form
    59,230.31/139,822.59 = 139,822.59/x
  3. Step 3: Cross multiply
    59,230.31x = 139,822.59 × 139,822.59
  4. Step 4: Simplify right side
    59,230.31x = 19,550,357,722.98
  5. Step 5: Solve for x
    x = 19,550,357,722.98/59,230.31
  6. Step 6: Final answer
    x = 330,073.52

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.