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Finding the Third Proportional to 68,807.50 and 139,551.50

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Solution

The third proportional to 68,807.50 and 139,551.50 is: 283,030.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,807.50 : 139,551.50 = 139,551.50 : x
  2. Step 2: Convert to fraction form
    68,807.50/139,551.50 = 139,551.50/x
  3. Step 3: Cross multiply
    68,807.50x = 139,551.50 × 139,551.50
  4. Step 4: Simplify right side
    68,807.50x = 19,474,621,152.25
  5. Step 5: Solve for x
    x = 19,474,621,152.25/68,807.50
  6. Step 6: Final answer
    x = 283,030.50

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.