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Finding the Third Proportional to 76,076 and 119,336

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Solution

The third proportional to 76,076 and 119,336 is: 187,195.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,076 : 119,336 = 119,336 : x
  2. Step 2: Convert to fraction form
    76,076/119,336 = 119,336/x
  3. Step 3: Cross multiply
    76,076x = 119,336 × 119,336
  4. Step 4: Simplify right side
    76,076x = 14,241,080,896
  5. Step 5: Solve for x
    x = 14,241,080,896/76,076
  6. Step 6: Final answer
    x = 187,195.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.