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Finding the Third Proportional to 45,050 and 70,670

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Solution

The third proportional to 45,050 and 70,670 is: 110,860.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,050 : 70,670 = 70,670 : x
  2. Step 2: Convert to fraction form
    45,050/70,670 = 70,670/x
  3. Step 3: Cross multiply
    45,050x = 70,670 × 70,670
  4. Step 4: Simplify right side
    45,050x = 4,994,248,900
  5. Step 5: Solve for x
    x = 4,994,248,900/45,050
  6. Step 6: Final answer
    x = 110,860.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.