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Finding the Third Proportional to 102,570.05 and 155,270.67

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Solution

The third proportional to 102,570.05 and 155,270.67 is: 235,048.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,570.05 : 155,270.67 = 155,270.67 : x
  2. Step 2: Convert to fraction form
    102,570.05/155,270.67 = 155,270.67/x
  3. Step 3: Cross multiply
    102,570.05x = 155,270.67 × 155,270.67
  4. Step 4: Simplify right side
    102,570.05x = 24,108,981,544.51
  5. Step 5: Solve for x
    x = 24,108,981,544.51/102,570.05
  6. Step 6: Final answer
    x = 235,048.95

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Why These Related Problems?

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