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Finding the Third Proportional to 52,989.19 and 111,423.09

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Solution

The third proportional to 52,989.19 and 111,423.09 is: 234,295.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,989.19 : 111,423.09 = 111,423.09 : x
  2. Step 2: Convert to fraction form
    52,989.19/111,423.09 = 111,423.09/x
  3. Step 3: Cross multiply
    52,989.19x = 111,423.09 × 111,423.09
  4. Step 4: Simplify right side
    52,989.19x = 12,415,105,820.82
  5. Step 5: Solve for x
    x = 12,415,105,820.82/52,989.19
  6. Step 6: Final answer
    x = 234,295.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.