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Finding the Third Proportional to 72,070 and 114,517.50

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Solution

The third proportional to 72,070 and 114,517.50 is: 181,965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,070 : 114,517.50 = 114,517.50 : x
  2. Step 2: Convert to fraction form
    72,070/114,517.50 = 114,517.50/x
  3. Step 3: Cross multiply
    72,070x = 114,517.50 × 114,517.50
  4. Step 4: Simplify right side
    72,070x = 13,114,257,806.25
  5. Step 5: Solve for x
    x = 13,114,257,806.25/72,070
  6. Step 6: Final answer
    x = 181,965.56

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.