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Finding the Third Proportional to 57,387 and 94,834.50

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Solution

The third proportional to 57,387 and 94,834.50 is: 156,718.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,387 : 94,834.50 = 94,834.50 : x
  2. Step 2: Convert to fraction form
    57,387/94,834.50 = 94,834.50/x
  3. Step 3: Cross multiply
    57,387x = 94,834.50 × 94,834.50
  4. Step 4: Simplify right side
    57,387x = 8,993,582,390.25
  5. Step 5: Solve for x
    x = 8,993,582,390.25/57,387
  6. Step 6: Final answer
    x = 156,718.11

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.