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Finding the Third Proportional to 57,699 and 136,957.50

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Solution

The third proportional to 57,699 and 136,957.50 is: 325,089.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,699 : 136,957.50 = 136,957.50 : x
  2. Step 2: Convert to fraction form
    57,699/136,957.50 = 136,957.50/x
  3. Step 3: Cross multiply
    57,699x = 136,957.50 × 136,957.50
  4. Step 4: Simplify right side
    57,699x = 18,757,356,806.25
  5. Step 5: Solve for x
    x = 18,757,356,806.25/57,699
  6. Step 6: Final answer
    x = 325,089.81

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.