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Finding the Third Proportional to 129,441 and 172,048.50

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Solution

The third proportional to 129,441 and 172,048.50 is: 228,680.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,441 : 172,048.50 = 172,048.50 : x
  2. Step 2: Convert to fraction form
    129,441/172,048.50 = 172,048.50/x
  3. Step 3: Cross multiply
    129,441x = 172,048.50 × 172,048.50
  4. Step 4: Simplify right side
    129,441x = 29,600,686,352.25
  5. Step 5: Solve for x
    x = 29,600,686,352.25/129,441
  6. Step 6: Final answer
    x = 228,680.92

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.