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Finding the Third Proportional to 66,915 and 97,860

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Solution

The third proportional to 66,915 and 97,860 is: 143,115.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,915 : 97,860 = 97,860 : x
  2. Step 2: Convert to fraction form
    66,915/97,860 = 97,860/x
  3. Step 3: Cross multiply
    66,915x = 97,860 × 97,860
  4. Step 4: Simplify right side
    66,915x = 9,576,579,600
  5. Step 5: Solve for x
    x = 9,576,579,600/66,915
  6. Step 6: Final answer
    x = 143,115.59

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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.