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Finding the Third Proportional to 59,280 and 139,933.50

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Solution

The third proportional to 59,280 and 139,933.50 is: 330,320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,280 : 139,933.50 = 139,933.50 : x
  2. Step 2: Convert to fraction form
    59,280/139,933.50 = 139,933.50/x
  3. Step 3: Cross multiply
    59,280x = 139,933.50 × 139,933.50
  4. Step 4: Simplify right side
    59,280x = 19,581,384,422.25
  5. Step 5: Solve for x
    x = 19,581,384,422.25/59,280
  6. Step 6: Final answer
    x = 330,320.25

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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.