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Finding the Third Proportional to 72,905 and 105,361

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Solution

The third proportional to 72,905 and 105,361 is: 152,265.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,905 : 105,361 = 105,361 : x
  2. Step 2: Convert to fraction form
    72,905/105,361 = 105,361/x
  3. Step 3: Cross multiply
    72,905x = 105,361 × 105,361
  4. Step 4: Simplify right side
    72,905x = 11,100,940,321
  5. Step 5: Solve for x
    x = 11,100,940,321/72,905
  6. Step 6: Final answer
    x = 152,265.83

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.