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Finding the Third Proportional to 47,220 and 102,184

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Solution

The third proportional to 47,220 and 102,184 is: 221,126.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,220 : 102,184 = 102,184 : x
  2. Step 2: Convert to fraction form
    47,220/102,184 = 102,184/x
  3. Step 3: Cross multiply
    47,220x = 102,184 × 102,184
  4. Step 4: Simplify right side
    47,220x = 10,441,569,856
  5. Step 5: Solve for x
    x = 10,441,569,856/47,220
  6. Step 6: Final answer
    x = 221,126.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.