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Finding the Third Proportional to 66,318.75 and 139,927.50

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Solution

The third proportional to 66,318.75 and 139,927.50 is: 295,236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,318.75 : 139,927.50 = 139,927.50 : x
  2. Step 2: Convert to fraction form
    66,318.75/139,927.50 = 139,927.50/x
  3. Step 3: Cross multiply
    66,318.75x = 139,927.50 × 139,927.50
  4. Step 4: Simplify right side
    66,318.75x = 19,579,705,256.25
  5. Step 5: Solve for x
    x = 19,579,705,256.25/66,318.75
  6. Step 6: Final answer
    x = 295,236.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.