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Finding the Third Proportional to 68,216.50 and 139,814

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Solution

The third proportional to 68,216.50 and 139,814 is: 286,557.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,216.50 : 139,814 = 139,814 : x
  2. Step 2: Convert to fraction form
    68,216.50/139,814 = 139,814/x
  3. Step 3: Cross multiply
    68,216.50x = 139,814 × 139,814
  4. Step 4: Simplify right side
    68,216.50x = 19,547,954,596
  5. Step 5: Solve for x
    x = 19,547,954,596/68,216.50
  6. Step 6: Final answer
    x = 286,557.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.