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Finding the Third Proportional to 61,452 and 97,977

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Solution

The third proportional to 61,452 and 97,977 is: 156,211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,452 : 97,977 = 97,977 : x
  2. Step 2: Convert to fraction form
    61,452/97,977 = 97,977/x
  3. Step 3: Cross multiply
    61,452x = 97,977 × 97,977
  4. Step 4: Simplify right side
    61,452x = 9,599,492,529
  5. Step 5: Solve for x
    x = 9,599,492,529/61,452
  6. Step 6: Final answer
    x = 156,211.23

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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.