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Finding the Third Proportional to 74,011.13 and 162,784.31

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Solution

The third proportional to 74,011.13 and 162,784.31 is: 358,037.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,011.13 : 162,784.31 = 162,784.31 : x
  2. Step 2: Convert to fraction form
    74,011.13/162,784.31 = 162,784.31/x
  3. Step 3: Cross multiply
    74,011.13x = 162,784.31 × 162,784.31
  4. Step 4: Simplify right side
    74,011.13x = 26,498,732,396.10
  5. Step 5: Solve for x
    x = 26,498,732,396.10/74,011.13
  6. Step 6: Final answer
    x = 358,037.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.