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Finding the Third Proportional to 66,892.50 and 143,123.63

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Solution

The third proportional to 66,892.50 and 143,123.63 is: 306,228.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,892.50 : 143,123.63 = 143,123.63 : x
  2. Step 2: Convert to fraction form
    66,892.50/143,123.63 = 143,123.63/x
  3. Step 3: Cross multiply
    66,892.50x = 143,123.63 × 143,123.63
  4. Step 4: Simplify right side
    66,892.50x = 20,484,372,033.14
  5. Step 5: Solve for x
    x = 20,484,372,033.14/66,892.50
  6. Step 6: Final answer
    x = 306,228.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.