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Finding the Third Proportional to 75,964 and 122,046

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Solution

The third proportional to 75,964 and 122,046 is: 196,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,964 : 122,046 = 122,046 : x
  2. Step 2: Convert to fraction form
    75,964/122,046 = 122,046/x
  3. Step 3: Cross multiply
    75,964x = 122,046 × 122,046
  4. Step 4: Simplify right side
    75,964x = 14,895,226,116
  5. Step 5: Solve for x
    x = 14,895,226,116/75,964
  6. Step 6: Final answer
    x = 196,082.70

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.