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Finding the Third Proportional to 64,223 and 97,849

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Solution

The third proportional to 64,223 and 97,849 is: 149,080.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,223 : 97,849 = 97,849 : x
  2. Step 2: Convert to fraction form
    64,223/97,849 = 97,849/x
  3. Step 3: Cross multiply
    64,223x = 97,849 × 97,849
  4. Step 4: Simplify right side
    64,223x = 9,574,426,801
  5. Step 5: Solve for x
    x = 9,574,426,801/64,223
  6. Step 6: Final answer
    x = 149,080.96

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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.