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Finding the Third Proportional to 97,355.25 and 146,032.88

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Solution

The third proportional to 97,355.25 and 146,032.88 is: 219,049.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,355.25 : 146,032.88 = 146,032.88 : x
  2. Step 2: Convert to fraction form
    97,355.25/146,032.88 = 146,032.88/x
  3. Step 3: Cross multiply
    97,355.25x = 146,032.88 × 146,032.88
  4. Step 4: Simplify right side
    97,355.25x = 21,325,600,580.77
  5. Step 5: Solve for x
    x = 21,325,600,580.77/97,355.25
  6. Step 6: Final answer
    x = 219,049.31

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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.