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Finding the Third Proportional to 58,900 and 76,434

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Solution

The third proportional to 58,900 and 76,434 is: 99,187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,900 : 76,434 = 76,434 : x
  2. Step 2: Convert to fraction form
    58,900/76,434 = 76,434/x
  3. Step 3: Cross multiply
    58,900x = 76,434 × 76,434
  4. Step 4: Simplify right side
    58,900x = 5,842,156,356
  5. Step 5: Solve for x
    x = 5,842,156,356/58,900
  6. Step 6: Final answer
    x = 99,187.71

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.