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Finding the Third Proportional to 76,010 and 114,471

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Solution

The third proportional to 76,010 and 114,471 is: 172,393.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,010 : 114,471 = 114,471 : x
  2. Step 2: Convert to fraction form
    76,010/114,471 = 114,471/x
  3. Step 3: Cross multiply
    76,010x = 114,471 × 114,471
  4. Step 4: Simplify right side
    76,010x = 13,103,609,841
  5. Step 5: Solve for x
    x = 13,103,609,841/76,010
  6. Step 6: Final answer
    x = 172,393.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.