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Finding the Third Proportional to 72,396 and 157,167

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Solution

The third proportional to 72,396 and 157,167 is: 341,199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,396 : 157,167 = 157,167 : x
  2. Step 2: Convert to fraction form
    72,396/157,167 = 157,167/x
  3. Step 3: Cross multiply
    72,396x = 157,167 × 157,167
  4. Step 4: Simplify right side
    72,396x = 24,701,465,889
  5. Step 5: Solve for x
    x = 24,701,465,889/72,396
  6. Step 6: Final answer
    x = 341,199.32

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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.