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Finding the Third Proportional to 70,588.13 and 106,039.13

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Solution

The third proportional to 70,588.13 and 106,039.13 is: 159,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,588.13 : 106,039.13 = 106,039.13 : x
  2. Step 2: Convert to fraction form
    70,588.13/106,039.13 = 106,039.13/x
  3. Step 3: Cross multiply
    70,588.13x = 106,039.13 × 106,039.13
  4. Step 4: Simplify right side
    70,588.13x = 11,244,296,030.77
  5. Step 5: Solve for x
    x = 11,244,296,030.77/70,588.13
  6. Step 6: Final answer
    x = 159,294.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.