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Finding the Third Proportional to 64,921 and 97,123

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Solution

The third proportional to 64,921 and 97,123 is: 145,297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,921 : 97,123 = 97,123 : x
  2. Step 2: Convert to fraction form
    64,921/97,123 = 97,123/x
  3. Step 3: Cross multiply
    64,921x = 97,123 × 97,123
  4. Step 4: Simplify right side
    64,921x = 9,432,877,129
  5. Step 5: Solve for x
    x = 9,432,877,129/64,921
  6. Step 6: Final answer
    x = 145,297.78

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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.