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Finding the Third Proportional to 59,305.50 and 139,954.50

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Solution

The third proportional to 59,305.50 and 139,954.50 is: 330,277.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,305.50 : 139,954.50 = 139,954.50 : x
  2. Step 2: Convert to fraction form
    59,305.50/139,954.50 = 139,954.50/x
  3. Step 3: Cross multiply
    59,305.50x = 139,954.50 × 139,954.50
  4. Step 4: Simplify right side
    59,305.50x = 19,587,262,070.25
  5. Step 5: Solve for x
    x = 19,587,262,070.25/59,305.50
  6. Step 6: Final answer
    x = 330,277.33

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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.