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Finding the Third Proportional to 74,010.94 and 162,784.13

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Solution

The third proportional to 74,010.94 and 162,784.13 is: 358,037.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,010.94 : 162,784.13 = 162,784.13 : x
  2. Step 2: Convert to fraction form
    74,010.94/162,784.13 = 162,784.13/x
  3. Step 3: Cross multiply
    74,010.94x = 162,784.13 × 162,784.13
  4. Step 4: Simplify right side
    74,010.94x = 26,498,671,352.02
  5. Step 5: Solve for x
    x = 26,498,671,352.02/74,010.94
  6. Step 6: Final answer
    x = 358,037.23

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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.