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Finding the Third Proportional to 45,840 and 99,402

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Solution

The third proportional to 45,840 and 99,402 is: 215,548.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,840 : 99,402 = 99,402 : x
  2. Step 2: Convert to fraction form
    45,840/99,402 = 99,402/x
  3. Step 3: Cross multiply
    45,840x = 99,402 × 99,402
  4. Step 4: Simplify right side
    45,840x = 9,880,757,604
  5. Step 5: Solve for x
    x = 9,880,757,604/45,840
  6. Step 6: Final answer
    x = 215,548.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.