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Finding the Third Proportional to 61,960 and 98,477

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Solution

The third proportional to 61,960 and 98,477 is: 156,515.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,960 : 98,477 = 98,477 : x
  2. Step 2: Convert to fraction form
    61,960/98,477 = 98,477/x
  3. Step 3: Cross multiply
    61,960x = 98,477 × 98,477
  4. Step 4: Simplify right side
    61,960x = 9,697,719,529
  5. Step 5: Solve for x
    x = 9,697,719,529/61,960
  6. Step 6: Final answer
    x = 156,515.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.