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Finding the Third Proportional to 44,742 and 97,478

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Solution

The third proportional to 44,742 and 97,478 is: 212,372.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,742 : 97,478 = 97,478 : x
  2. Step 2: Convert to fraction form
    44,742/97,478 = 97,478/x
  3. Step 3: Cross multiply
    44,742x = 97,478 × 97,478
  4. Step 4: Simplify right side
    44,742x = 9,501,960,484
  5. Step 5: Solve for x
    x = 9,501,960,484/44,742
  6. Step 6: Final answer
    x = 212,372.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.