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Finding the Third Proportional to 64,212 and 97,436

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Solution

The third proportional to 64,212 and 97,436 is: 147,850.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,212 : 97,436 = 97,436 : x
  2. Step 2: Convert to fraction form
    64,212/97,436 = 97,436/x
  3. Step 3: Cross multiply
    64,212x = 97,436 × 97,436
  4. Step 4: Simplify right side
    64,212x = 9,493,774,096
  5. Step 5: Solve for x
    x = 9,493,774,096/64,212
  6. Step 6: Final answer
    x = 147,850.47

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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.