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Finding the Third Proportional to 102,555.70 and 155,248.73

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Solution

The third proportional to 102,555.70 and 155,248.73 is: 235,015.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,555.70 : 155,248.73 = 155,248.73 : x
  2. Step 2: Convert to fraction form
    102,555.70/155,248.73 = 155,248.73/x
  3. Step 3: Cross multiply
    102,555.70x = 155,248.73 × 155,248.73
  4. Step 4: Simplify right side
    102,555.70x = 24,102,169,525.04
  5. Step 5: Solve for x
    x = 24,102,169,525.04/102,555.70
  6. Step 6: Final answer
    x = 235,015.40

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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.