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Finding the Third Proportional to 70,502 and 110,765

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Solution

The third proportional to 70,502 and 110,765 is: 174,021.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,502 : 110,765 = 110,765 : x
  2. Step 2: Convert to fraction form
    70,502/110,765 = 110,765/x
  3. Step 3: Cross multiply
    70,502x = 110,765 × 110,765
  4. Step 4: Simplify right side
    70,502x = 12,268,885,225
  5. Step 5: Solve for x
    x = 12,268,885,225/70,502
  6. Step 6: Final answer
    x = 174,021.80

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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.