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Finding the Third Proportional to 61,317 and 94,977

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Solution

The third proportional to 61,317 and 94,977 is: 147,114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,317 : 94,977 = 94,977 : x
  2. Step 2: Convert to fraction form
    61,317/94,977 = 94,977/x
  3. Step 3: Cross multiply
    61,317x = 94,977 × 94,977
  4. Step 4: Simplify right side
    61,317x = 9,020,630,529
  5. Step 5: Solve for x
    x = 9,020,630,529/61,317
  6. Step 6: Final answer
    x = 147,114.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.