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Finding the Third Proportional to 47,506 and 100,352

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Solution

The third proportional to 47,506 and 100,352 is: 211,984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,506 : 100,352 = 100,352 : x
  2. Step 2: Convert to fraction form
    47,506/100,352 = 100,352/x
  3. Step 3: Cross multiply
    47,506x = 100,352 × 100,352
  4. Step 4: Simplify right side
    47,506x = 10,070,523,904
  5. Step 5: Solve for x
    x = 10,070,523,904/47,506
  6. Step 6: Final answer
    x = 211,984.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.