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Finding the Third Proportional to 74,934.75 and 156,797.06

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Solution

The third proportional to 74,934.75 and 156,797.06 is: 328,089.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,934.75 : 156,797.06 = 156,797.06 : x
  2. Step 2: Convert to fraction form
    74,934.75/156,797.06 = 156,797.06/x
  3. Step 3: Cross multiply
    74,934.75x = 156,797.06 × 156,797.06
  4. Step 4: Simplify right side
    74,934.75x = 24,585,318,808.63
  5. Step 5: Solve for x
    x = 24,585,318,808.63/74,934.75
  6. Step 6: Final answer
    x = 328,089.69

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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.