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Finding the Third Proportional to 45,940 and 97,346

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Solution

The third proportional to 45,940 and 97,346 is: 206,274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,940 : 97,346 = 97,346 : x
  2. Step 2: Convert to fraction form
    45,940/97,346 = 97,346/x
  3. Step 3: Cross multiply
    45,940x = 97,346 × 97,346
  4. Step 4: Simplify right side
    45,940x = 9,476,243,716
  5. Step 5: Solve for x
    x = 9,476,243,716/45,940
  6. Step 6: Final answer
    x = 206,274.35

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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.