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Finding the Third Proportional to 64,927 and 97,132

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Solution

The third proportional to 64,927 and 97,132 is: 145,311.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,927 : 97,132 = 97,132 : x
  2. Step 2: Convert to fraction form
    64,927/97,132 = 97,132/x
  3. Step 3: Cross multiply
    64,927x = 97,132 × 97,132
  4. Step 4: Simplify right side
    64,927x = 9,434,625,424
  5. Step 5: Solve for x
    x = 9,434,625,424/64,927
  6. Step 6: Final answer
    x = 145,311.28

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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.