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Finding the Third Proportional to 72,864 and 159,354

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Solution

The third proportional to 72,864 and 159,354 is: 348,508.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,864 : 159,354 = 159,354 : x
  2. Step 2: Convert to fraction form
    72,864/159,354 = 159,354/x
  3. Step 3: Cross multiply
    72,864x = 159,354 × 159,354
  4. Step 4: Simplify right side
    72,864x = 25,393,697,316
  5. Step 5: Solve for x
    x = 25,393,697,316/72,864
  6. Step 6: Final answer
    x = 348,508.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.