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Finding the Third Proportional to 69,079.51 and 103,192.66

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Solution

The third proportional to 69,079.51 and 103,192.66 is: 154,151.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,079.51 : 103,192.66 = 103,192.66 : x
  2. Step 2: Convert to fraction form
    69,079.51/103,192.66 = 103,192.66/x
  3. Step 3: Cross multiply
    69,079.51x = 103,192.66 × 103,192.66
  4. Step 4: Simplify right side
    69,079.51x = 10,648,724,102.38
  5. Step 5: Solve for x
    x = 10,648,724,102.38/69,079.51
  6. Step 6: Final answer
    x = 154,151.70

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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.