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Finding the Third Proportional to 66,964 and 97,932

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Solution

The third proportional to 66,964 and 97,932 is: 143,221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,964 : 97,932 = 97,932 : x
  2. Step 2: Convert to fraction form
    66,964/97,932 = 97,932/x
  3. Step 3: Cross multiply
    66,964x = 97,932 × 97,932
  4. Step 4: Simplify right side
    66,964x = 9,590,676,624
  5. Step 5: Solve for x
    x = 9,590,676,624/66,964
  6. Step 6: Final answer
    x = 143,221.38

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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.