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Finding the Third Proportional to 53,088 and 74,408

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Solution

The third proportional to 53,088 and 74,408 is: 104,290.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,088 : 74,408 = 74,408 : x
  2. Step 2: Convert to fraction form
    53,088/74,408 = 74,408/x
  3. Step 3: Cross multiply
    53,088x = 74,408 × 74,408
  4. Step 4: Simplify right side
    53,088x = 5,536,550,464
  5. Step 5: Solve for x
    x = 5,536,550,464/53,088
  6. Step 6: Final answer
    x = 104,290.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.