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Finding the Third Proportional to 59,284 and 139,943.50

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Solution

The third proportional to 59,284 and 139,943.50 is: 330,345.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,284 : 139,943.50 = 139,943.50 : x
  2. Step 2: Convert to fraction form
    59,284/139,943.50 = 139,943.50/x
  3. Step 3: Cross multiply
    59,284x = 139,943.50 × 139,943.50
  4. Step 4: Simplify right side
    59,284x = 19,584,183,192.25
  5. Step 5: Solve for x
    x = 19,584,183,192.25/59,284
  6. Step 6: Final answer
    x = 330,345.17

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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.