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Finding the Third Proportional to 76,010 and 116,931

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Solution

The third proportional to 76,010 and 116,931 is: 179,882.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,010 : 116,931 = 116,931 : x
  2. Step 2: Convert to fraction form
    76,010/116,931 = 116,931/x
  3. Step 3: Cross multiply
    76,010x = 116,931 × 116,931
  4. Step 4: Simplify right side
    76,010x = 13,672,858,761
  5. Step 5: Solve for x
    x = 13,672,858,761/76,010
  6. Step 6: Final answer
    x = 179,882.37

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.