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Finding the Third Proportional to 66,715.13 and 146,551.13

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Solution

The third proportional to 66,715.13 and 146,551.13 is: 321,924.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,715.13 : 146,551.13 = 146,551.13 : x
  2. Step 2: Convert to fraction form
    66,715.13/146,551.13 = 146,551.13/x
  3. Step 3: Cross multiply
    66,715.13x = 146,551.13 × 146,551.13
  4. Step 4: Simplify right side
    66,715.13x = 21,477,232,238.77
  5. Step 5: Solve for x
    x = 21,477,232,238.77/66,715.13
  6. Step 6: Final answer
    x = 321,924.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.