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Finding the Third Proportional to 66,944.25 and 139,432.50

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Solution

The third proportional to 66,944.25 and 139,432.50 is: 290,412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,944.25 : 139,432.50 = 139,432.50 : x
  2. Step 2: Convert to fraction form
    66,944.25/139,432.50 = 139,432.50/x
  3. Step 3: Cross multiply
    66,944.25x = 139,432.50 × 139,432.50
  4. Step 4: Simplify right side
    66,944.25x = 19,441,422,056.25
  5. Step 5: Solve for x
    x = 19,441,422,056.25/66,944.25
  6. Step 6: Final answer
    x = 290,412.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.