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Finding the Third Proportional to 45,894 and 97,293

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Solution

The third proportional to 45,894 and 97,293 is: 206,256.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,894 : 97,293 = 97,293 : x
  2. Step 2: Convert to fraction form
    45,894/97,293 = 97,293/x
  3. Step 3: Cross multiply
    45,894x = 97,293 × 97,293
  4. Step 4: Simplify right side
    45,894x = 9,465,927,849
  5. Step 5: Solve for x
    x = 9,465,927,849/45,894
  6. Step 6: Final answer
    x = 206,256.33

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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.