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Finding the Third Proportional to 47,004 and 102,432

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Solution

The third proportional to 47,004 and 102,432 is: 223,221.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,004 : 102,432 = 102,432 : x
  2. Step 2: Convert to fraction form
    47,004/102,432 = 102,432/x
  3. Step 3: Cross multiply
    47,004x = 102,432 × 102,432
  4. Step 4: Simplify right side
    47,004x = 10,492,314,624
  5. Step 5: Solve for x
    x = 10,492,314,624/47,004
  6. Step 6: Final answer
    x = 223,221.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.