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Finding the Third Proportional to 69,017 and 101,338

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Solution

The third proportional to 69,017 and 101,338 is: 148,795.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,017 : 101,338 = 101,338 : x
  2. Step 2: Convert to fraction form
    69,017/101,338 = 101,338/x
  3. Step 3: Cross multiply
    69,017x = 101,338 × 101,338
  4. Step 4: Simplify right side
    69,017x = 10,269,390,244
  5. Step 5: Solve for x
    x = 10,269,390,244/69,017
  6. Step 6: Final answer
    x = 148,795.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.