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Finding the Third Proportional to 75,056.63 and 164,874.23

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Solution

The third proportional to 75,056.63 and 164,874.23 is: 362,173.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,056.63 : 164,874.23 = 164,874.23 : x
  2. Step 2: Convert to fraction form
    75,056.63/164,874.23 = 164,874.23/x
  3. Step 3: Cross multiply
    75,056.63x = 164,874.23 × 164,874.23
  4. Step 4: Simplify right side
    75,056.63x = 27,183,513,160.74
  5. Step 5: Solve for x
    x = 27,183,513,160.74/75,056.63
  6. Step 6: Final answer
    x = 362,173.40

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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.