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Finding the Third Proportional to 70,102.13 and 105,989.63

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Solution

The third proportional to 70,102.13 and 105,989.63 is: 160,249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,102.13 : 105,989.63 = 105,989.63 : x
  2. Step 2: Convert to fraction form
    70,102.13/105,989.63 = 105,989.63/x
  3. Step 3: Cross multiply
    70,102.13x = 105,989.63 × 105,989.63
  4. Step 4: Simplify right side
    70,102.13x = 11,233,800,607.64
  5. Step 5: Solve for x
    x = 11,233,800,607.64/70,102.13
  6. Step 6: Final answer
    x = 160,249.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.