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Finding the Third Proportional to 74,630 and 101,334

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Solution

The third proportional to 74,630 and 101,334 is: 137,593.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,630 : 101,334 = 101,334 : x
  2. Step 2: Convert to fraction form
    74,630/101,334 = 101,334/x
  3. Step 3: Cross multiply
    74,630x = 101,334 × 101,334
  4. Step 4: Simplify right side
    74,630x = 10,268,579,556
  5. Step 5: Solve for x
    x = 10,268,579,556/74,630
  6. Step 6: Final answer
    x = 137,593.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.