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Finding the Third Proportional to 70,368 and 149,372

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Solution

The third proportional to 70,368 and 149,372 is: 317,075.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,368 : 149,372 = 149,372 : x
  2. Step 2: Convert to fraction form
    70,368/149,372 = 149,372/x
  3. Step 3: Cross multiply
    70,368x = 149,372 × 149,372
  4. Step 4: Simplify right side
    70,368x = 22,311,994,384
  5. Step 5: Solve for x
    x = 22,311,994,384/70,368
  6. Step 6: Final answer
    x = 317,075.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.