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Finding the Third Proportional to 102,562.88 and 155,212.88

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Solution

The third proportional to 102,562.88 and 155,212.88 is: 234,890.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,562.88 : 155,212.88 = 155,212.88 : x
  2. Step 2: Convert to fraction form
    102,562.88/155,212.88 = 155,212.88/x
  3. Step 3: Cross multiply
    102,562.88x = 155,212.88 × 155,212.88
  4. Step 4: Simplify right side
    102,562.88x = 24,091,036,565.77
  5. Step 5: Solve for x
    x = 24,091,036,565.77/102,562.88
  6. Step 6: Final answer
    x = 234,890.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.