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Finding the Third Proportional to 66,207 and 101,297.25

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Solution

The third proportional to 66,207 and 101,297.25 is: 154,985.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,207 : 101,297.25 = 101,297.25 : x
  2. Step 2: Convert to fraction form
    66,207/101,297.25 = 101,297.25/x
  3. Step 3: Cross multiply
    66,207x = 101,297.25 × 101,297.25
  4. Step 4: Simplify right side
    66,207x = 10,261,132,857.56
  5. Step 5: Solve for x
    x = 10,261,132,857.56/66,207
  6. Step 6: Final answer
    x = 154,985.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.