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Finding the Third Proportional to 45,309 and 97,894

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Solution

The third proportional to 45,309 and 97,894 is: 211,508.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,309 : 97,894 = 97,894 : x
  2. Step 2: Convert to fraction form
    45,309/97,894 = 97,894/x
  3. Step 3: Cross multiply
    45,309x = 97,894 × 97,894
  4. Step 4: Simplify right side
    45,309x = 9,583,235,236
  5. Step 5: Solve for x
    x = 9,583,235,236/45,309
  6. Step 6: Final answer
    x = 211,508.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.