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Finding the Third Proportional to 73,629 and 111,810.38

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Solution

The third proportional to 73,629 and 111,810.38 is: 169,791.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,629 : 111,810.38 = 111,810.38 : x
  2. Step 2: Convert to fraction form
    73,629/111,810.38 = 111,810.38/x
  3. Step 3: Cross multiply
    73,629x = 111,810.38 × 111,810.38
  4. Step 4: Simplify right side
    73,629x = 12,501,559,957.64
  5. Step 5: Solve for x
    x = 12,501,559,957.64/73,629
  6. Step 6: Final answer
    x = 169,791.25

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.