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Finding the Third Proportional to 66,496 and 97,267

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Solution

The third proportional to 66,496 and 97,267 is: 142,277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,496 : 97,267 = 97,267 : x
  2. Step 2: Convert to fraction form
    66,496/97,267 = 97,267/x
  3. Step 3: Cross multiply
    66,496x = 97,267 × 97,267
  4. Step 4: Simplify right side
    66,496x = 9,460,869,289
  5. Step 5: Solve for x
    x = 9,460,869,289/66,496
  6. Step 6: Final answer
    x = 142,277.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.