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Finding the Third Proportional to 97,962.75 and 146,564.44

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Solution

The third proportional to 97,962.75 and 146,564.44 is: 219,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,962.75 : 146,564.44 = 146,564.44 : x
  2. Step 2: Convert to fraction form
    97,962.75/146,564.44 = 146,564.44/x
  3. Step 3: Cross multiply
    97,962.75x = 146,564.44 × 146,564.44
  4. Step 4: Simplify right side
    97,962.75x = 21,481,134,339.69
  5. Step 5: Solve for x
    x = 21,481,134,339.69/97,962.75
  6. Step 6: Final answer
    x = 219,278.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.