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Finding the Third Proportional to 64,107.56 and 166,420.13

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Solution

The third proportional to 64,107.56 and 166,420.13 is: 432,018.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,107.56 : 166,420.13 = 166,420.13 : x
  2. Step 2: Convert to fraction form
    64,107.56/166,420.13 = 166,420.13/x
  3. Step 3: Cross multiply
    64,107.56x = 166,420.13 × 166,420.13
  4. Step 4: Simplify right side
    64,107.56x = 27,695,658,005.02
  5. Step 5: Solve for x
    x = 27,695,658,005.02/64,107.56
  6. Step 6: Final answer
    x = 432,018.58

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.