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Finding the Third Proportional to 62,766 and 139,531.50

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Solution

The third proportional to 62,766 and 139,531.50 is: 310,184.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,766 : 139,531.50 = 139,531.50 : x
  2. Step 2: Convert to fraction form
    62,766/139,531.50 = 139,531.50/x
  3. Step 3: Cross multiply
    62,766x = 139,531.50 × 139,531.50
  4. Step 4: Simplify right side
    62,766x = 19,469,039,492.25
  5. Step 5: Solve for x
    x = 19,469,039,492.25/62,766
  6. Step 6: Final answer
    x = 310,184.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.