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Finding the Third Proportional to 49,905 and 72,910.50

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Solution

The third proportional to 49,905 and 72,910.50 is: 106,521.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,905 : 72,910.50 = 72,910.50 : x
  2. Step 2: Convert to fraction form
    49,905/72,910.50 = 72,910.50/x
  3. Step 3: Cross multiply
    49,905x = 72,910.50 × 72,910.50
  4. Step 4: Simplify right side
    49,905x = 5,315,941,010.25
  5. Step 5: Solve for x
    x = 5,315,941,010.25/49,905
  6. Step 6: Final answer
    x = 106,521.21

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.