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Finding the Third Proportional to 71,488 and 93,408

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Solution

The third proportional to 71,488 and 93,408 is: 122,049.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,488 : 93,408 = 93,408 : x
  2. Step 2: Convert to fraction form
    71,488/93,408 = 93,408/x
  3. Step 3: Cross multiply
    71,488x = 93,408 × 93,408
  4. Step 4: Simplify right side
    71,488x = 8,725,054,464
  5. Step 5: Solve for x
    x = 8,725,054,464/71,488
  6. Step 6: Final answer
    x = 122,049.22

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.