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Finding the Third Proportional to 72,435 and 111,933

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Solution

The third proportional to 72,435 and 111,933 is: 172,968.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,435 : 111,933 = 111,933 : x
  2. Step 2: Convert to fraction form
    72,435/111,933 = 111,933/x
  3. Step 3: Cross multiply
    72,435x = 111,933 × 111,933
  4. Step 4: Simplify right side
    72,435x = 12,528,996,489
  5. Step 5: Solve for x
    x = 12,528,996,489/72,435
  6. Step 6: Final answer
    x = 172,968.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.