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Finding the Third Proportional to 57,218 and 87,528

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Solution

The third proportional to 57,218 and 87,528 is: 133,894.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,218 : 87,528 = 87,528 : x
  2. Step 2: Convert to fraction form
    57,218/87,528 = 87,528/x
  3. Step 3: Cross multiply
    57,218x = 87,528 × 87,528
  4. Step 4: Simplify right side
    57,218x = 7,661,150,784
  5. Step 5: Solve for x
    x = 7,661,150,784/57,218
  6. Step 6: Final answer
    x = 133,894.07

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.