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Finding the Third Proportional to 59,824 and 90,408

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Solution

The third proportional to 59,824 and 90,408 is: 136,627.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,824 : 90,408 = 90,408 : x
  2. Step 2: Convert to fraction form
    59,824/90,408 = 90,408/x
  3. Step 3: Cross multiply
    59,824x = 90,408 × 90,408
  4. Step 4: Simplify right side
    59,824x = 8,173,606,464
  5. Step 5: Solve for x
    x = 8,173,606,464/59,824
  6. Step 6: Final answer
    x = 136,627.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.