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Finding the Third Proportional to 57,492 and 91,788

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Solution

The third proportional to 57,492 and 91,788 is: 146,542.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,492 : 91,788 = 91,788 : x
  2. Step 2: Convert to fraction form
    57,492/91,788 = 91,788/x
  3. Step 3: Cross multiply
    57,492x = 91,788 × 91,788
  4. Step 4: Simplify right side
    57,492x = 8,425,036,944
  5. Step 5: Solve for x
    x = 8,425,036,944/57,492
  6. Step 6: Final answer
    x = 146,542.77

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.