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Finding the Third Proportional to 64,354 and 141,806

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Solution

The third proportional to 64,354 and 141,806 is: 312,473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,354 : 141,806 = 141,806 : x
  2. Step 2: Convert to fraction form
    64,354/141,806 = 141,806/x
  3. Step 3: Cross multiply
    64,354x = 141,806 × 141,806
  4. Step 4: Simplify right side
    64,354x = 20,108,941,636
  5. Step 5: Solve for x
    x = 20,108,941,636/64,354
  6. Step 6: Final answer
    x = 312,473.84

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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.