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Finding the Third Proportional to 47,513 and 102,316

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Solution

The third proportional to 47,513 and 102,316 is: 220,330.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,513 : 102,316 = 102,316 : x
  2. Step 2: Convert to fraction form
    47,513/102,316 = 102,316/x
  3. Step 3: Cross multiply
    47,513x = 102,316 × 102,316
  4. Step 4: Simplify right side
    47,513x = 10,468,563,856
  5. Step 5: Solve for x
    x = 10,468,563,856/47,513
  6. Step 6: Final answer
    x = 220,330.52

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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.