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Finding the Third Proportional to 45,994 and 70,315

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Solution

The third proportional to 45,994 and 70,315 is: 107,496.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,994 : 70,315 = 70,315 : x
  2. Step 2: Convert to fraction form
    45,994/70,315 = 70,315/x
  3. Step 3: Cross multiply
    45,994x = 70,315 × 70,315
  4. Step 4: Simplify right side
    45,994x = 4,944,199,225
  5. Step 5: Solve for x
    x = 4,944,199,225/45,994
  6. Step 6: Final answer
    x = 107,496.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.