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Finding the Third Proportional to 64,980 and 97,950

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Solution

The third proportional to 64,980 and 97,950 is: 147,648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,980 : 97,950 = 97,950 : x
  2. Step 2: Convert to fraction form
    64,980/97,950 = 97,950/x
  3. Step 3: Cross multiply
    64,980x = 97,950 × 97,950
  4. Step 4: Simplify right side
    64,980x = 9,594,202,500
  5. Step 5: Solve for x
    x = 9,594,202,500/64,980
  6. Step 6: Final answer
    x = 147,648.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.