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Finding the Third Proportional to 64,135.75 and 148,467

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Solution

The third proportional to 64,135.75 and 148,467 is: 343,684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,135.75 : 148,467 = 148,467 : x
  2. Step 2: Convert to fraction form
    64,135.75/148,467 = 148,467/x
  3. Step 3: Cross multiply
    64,135.75x = 148,467 × 148,467
  4. Step 4: Simplify right side
    64,135.75x = 22,042,450,089
  5. Step 5: Solve for x
    x = 22,042,450,089/64,135.75
  6. Step 6: Final answer
    x = 343,684.30

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.