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Finding the Third Proportional to 72,804 and 159,883.50

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Solution

The third proportional to 72,804 and 159,883.50 is: 351,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,804 : 159,883.50 = 159,883.50 : x
  2. Step 2: Convert to fraction form
    72,804/159,883.50 = 159,883.50/x
  3. Step 3: Cross multiply
    72,804x = 159,883.50 × 159,883.50
  4. Step 4: Simplify right side
    72,804x = 25,562,733,572.25
  5. Step 5: Solve for x
    x = 25,562,733,572.25/72,804
  6. Step 6: Final answer
    x = 351,117.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.