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Finding the Third Proportional to 75,384 and 116,964

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Solution

The third proportional to 75,384 and 116,964 is: 181,478.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,384 : 116,964 = 116,964 : x
  2. Step 2: Convert to fraction form
    75,384/116,964 = 116,964/x
  3. Step 3: Cross multiply
    75,384x = 116,964 × 116,964
  4. Step 4: Simplify right side
    75,384x = 13,680,577,296
  5. Step 5: Solve for x
    x = 13,680,577,296/75,384
  6. Step 6: Final answer
    x = 181,478.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.