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Finding the Third Proportional to 64,512 and 97,740

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Solution

The third proportional to 64,512 and 97,740 is: 148,082.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,512 : 97,740 = 97,740 : x
  2. Step 2: Convert to fraction form
    64,512/97,740 = 97,740/x
  3. Step 3: Cross multiply
    64,512x = 97,740 × 97,740
  4. Step 4: Simplify right side
    64,512x = 9,553,107,600
  5. Step 5: Solve for x
    x = 9,553,107,600/64,512
  6. Step 6: Final answer
    x = 148,082.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.