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Finding the Third Proportional to 45,894 and 97,304

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Solution

The third proportional to 45,894 and 97,304 is: 206,302.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,894 : 97,304 = 97,304 : x
  2. Step 2: Convert to fraction form
    45,894/97,304 = 97,304/x
  3. Step 3: Cross multiply
    45,894x = 97,304 × 97,304
  4. Step 4: Simplify right side
    45,894x = 9,468,068,416
  5. Step 5: Solve for x
    x = 9,468,068,416/45,894
  6. Step 6: Final answer
    x = 206,302.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.