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Finding the Third Proportional to 42,506 and 91,402

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Solution

The third proportional to 42,506 and 91,402 is: 196,544.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,506 : 91,402 = 91,402 : x
  2. Step 2: Convert to fraction form
    42,506/91,402 = 91,402/x
  3. Step 3: Cross multiply
    42,506x = 91,402 × 91,402
  4. Step 4: Simplify right side
    42,506x = 8,354,325,604
  5. Step 5: Solve for x
    x = 8,354,325,604/42,506
  6. Step 6: Final answer
    x = 196,544.62

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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.