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Finding the Third Proportional to 100,785.50 and 152,482

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Solution

The third proportional to 100,785.50 and 152,482 is: 230,695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,785.50 : 152,482 = 152,482 : x
  2. Step 2: Convert to fraction form
    100,785.50/152,482 = 152,482/x
  3. Step 3: Cross multiply
    100,785.50x = 152,482 × 152,482
  4. Step 4: Simplify right side
    100,785.50x = 23,250,760,324
  5. Step 5: Solve for x
    x = 23,250,760,324/100,785.50
  6. Step 6: Final answer
    x = 230,695.49

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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.