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Finding the Third Proportional to 73,138.50 and 109,225.13

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Solution

The third proportional to 73,138.50 and 109,225.13 is: 163,116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,138.50 : 109,225.13 = 109,225.13 : x
  2. Step 2: Convert to fraction form
    73,138.50/109,225.13 = 109,225.13/x
  3. Step 3: Cross multiply
    73,138.50x = 109,225.13 × 109,225.13
  4. Step 4: Simplify right side
    73,138.50x = 11,930,127,931.27
  5. Step 5: Solve for x
    x = 11,930,127,931.27/73,138.50
  6. Step 6: Final answer
    x = 163,116.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.