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Finding the Third Proportional to 71,423 and 113,001

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Solution

The third proportional to 71,423 and 113,001 is: 178,783.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,423 : 113,001 = 113,001 : x
  2. Step 2: Convert to fraction form
    71,423/113,001 = 113,001/x
  3. Step 3: Cross multiply
    71,423x = 113,001 × 113,001
  4. Step 4: Simplify right side
    71,423x = 12,769,226,001
  5. Step 5: Solve for x
    x = 12,769,226,001/71,423
  6. Step 6: Final answer
    x = 178,783.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.