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Finding the Third Proportional to 70,952 and 152,977

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Solution

The third proportional to 70,952 and 152,977 is: 329,828.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,952 : 152,977 = 152,977 : x
  2. Step 2: Convert to fraction form
    70,952/152,977 = 152,977/x
  3. Step 3: Cross multiply
    70,952x = 152,977 × 152,977
  4. Step 4: Simplify right side
    70,952x = 23,401,962,529
  5. Step 5: Solve for x
    x = 23,401,962,529/70,952
  6. Step 6: Final answer
    x = 329,828.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.