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Finding the Third Proportional to 74,196 and 160,701

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Solution

The third proportional to 74,196 and 160,701 is: 348,062.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,196 : 160,701 = 160,701 : x
  2. Step 2: Convert to fraction form
    74,196/160,701 = 160,701/x
  3. Step 3: Cross multiply
    74,196x = 160,701 × 160,701
  4. Step 4: Simplify right side
    74,196x = 25,824,811,401
  5. Step 5: Solve for x
    x = 25,824,811,401/74,196
  6. Step 6: Final answer
    x = 348,062.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.