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Finding the Third Proportional to 48,503 and 72,935

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Solution

The third proportional to 48,503 and 72,935 is: 109,673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,503 : 72,935 = 72,935 : x
  2. Step 2: Convert to fraction form
    48,503/72,935 = 72,935/x
  3. Step 3: Cross multiply
    48,503x = 72,935 × 72,935
  4. Step 4: Simplify right side
    48,503x = 5,319,514,225
  5. Step 5: Solve for x
    x = 5,319,514,225/48,503
  6. Step 6: Final answer
    x = 109,673.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.