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Finding the Third Proportional to 72,903 and 105,358.50

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Solution

The third proportional to 72,903 and 105,358.50 is: 152,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,903 : 105,358.50 = 105,358.50 : x
  2. Step 2: Convert to fraction form
    72,903/105,358.50 = 105,358.50/x
  3. Step 3: Cross multiply
    72,903x = 105,358.50 × 105,358.50
  4. Step 4: Simplify right side
    72,903x = 11,100,413,522.25
  5. Step 5: Solve for x
    x = 11,100,413,522.25/72,903
  6. Step 6: Final answer
    x = 152,262.78

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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.