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Finding the Third Proportional to 47,370 and 102,330

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Solution

The third proportional to 47,370 and 102,330 is: 221,056.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,370 : 102,330 = 102,330 : x
  2. Step 2: Convert to fraction form
    47,370/102,330 = 102,330/x
  3. Step 3: Cross multiply
    47,370x = 102,330 × 102,330
  4. Step 4: Simplify right side
    47,370x = 10,471,428,900
  5. Step 5: Solve for x
    x = 10,471,428,900/47,370
  6. Step 6: Final answer
    x = 221,056.13

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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.