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Finding the Third Proportional to 74,930.06 and 156,785.63

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Solution

The third proportional to 74,930.06 and 156,785.63 is: 328,062.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,930.06 : 156,785.63 = 156,785.63 : x
  2. Step 2: Convert to fraction form
    74,930.06/156,785.63 = 156,785.63/x
  3. Step 3: Cross multiply
    74,930.06x = 156,785.63 × 156,785.63
  4. Step 4: Simplify right side
    74,930.06x = 24,581,732,206.64
  5. Step 5: Solve for x
    x = 24,581,732,206.64/74,930.06
  6. Step 6: Final answer
    x = 328,062.35

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.