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Finding the Third Proportional to 69,284 and 101,334

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Solution

The third proportional to 69,284 and 101,334 is: 148,209.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,284 : 101,334 = 101,334 : x
  2. Step 2: Convert to fraction form
    69,284/101,334 = 101,334/x
  3. Step 3: Cross multiply
    69,284x = 101,334 × 101,334
  4. Step 4: Simplify right side
    69,284x = 10,268,579,556
  5. Step 5: Solve for x
    x = 10,268,579,556/69,284
  6. Step 6: Final answer
    x = 148,209.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.