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Finding the Third Proportional to 72,223.50 and 105,660.50

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Solution

The third proportional to 72,223.50 and 105,660.50 is: 154,577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,223.50 : 105,660.50 = 105,660.50 : x
  2. Step 2: Convert to fraction form
    72,223.50/105,660.50 = 105,660.50/x
  3. Step 3: Cross multiply
    72,223.50x = 105,660.50 × 105,660.50
  4. Step 4: Simplify right side
    72,223.50x = 11,164,141,260.25
  5. Step 5: Solve for x
    x = 11,164,141,260.25/72,223.50
  6. Step 6: Final answer
    x = 154,577.68

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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.