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Finding the Third Proportional to 101,235 and 151,294

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Solution

The third proportional to 101,235 and 151,294 is: 226,106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,235 : 151,294 = 151,294 : x
  2. Step 2: Convert to fraction form
    101,235/151,294 = 151,294/x
  3. Step 3: Cross multiply
    101,235x = 151,294 × 151,294
  4. Step 4: Simplify right side
    101,235x = 22,889,874,436
  5. Step 5: Solve for x
    x = 22,889,874,436/101,235
  6. Step 6: Final answer
    x = 226,106.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.