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Finding the Third Proportional to 45,408 and 97,344

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Solution

The third proportional to 45,408 and 97,344 is: 208,682.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,408 : 97,344 = 97,344 : x
  2. Step 2: Convert to fraction form
    45,408/97,344 = 97,344/x
  3. Step 3: Cross multiply
    45,408x = 97,344 × 97,344
  4. Step 4: Simplify right side
    45,408x = 9,475,854,336
  5. Step 5: Solve for x
    x = 9,475,854,336/45,408
  6. Step 6: Final answer
    x = 208,682.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.