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Finding the Third Proportional to 72,384.19 and 104,423.06

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Solution

The third proportional to 72,384.19 and 104,423.06 is: 150,643.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,384.19 : 104,423.06 = 104,423.06 : x
  2. Step 2: Convert to fraction form
    72,384.19/104,423.06 = 104,423.06/x
  3. Step 3: Cross multiply
    72,384.19x = 104,423.06 × 104,423.06
  4. Step 4: Simplify right side
    72,384.19x = 10,904,175,981.88
  5. Step 5: Solve for x
    x = 10,904,175,981.88/72,384.19
  6. Step 6: Final answer
    x = 150,643.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.