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Finding the Third Proportional to 47,752 and 102,550

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Solution

The third proportional to 47,752 and 102,550 is: 220,231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,752 : 102,550 = 102,550 : x
  2. Step 2: Convert to fraction form
    47,752/102,550 = 102,550/x
  3. Step 3: Cross multiply
    47,752x = 102,550 × 102,550
  4. Step 4: Simplify right side
    47,752x = 10,516,502,500
  5. Step 5: Solve for x
    x = 10,516,502,500/47,752
  6. Step 6: Final answer
    x = 220,231.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.