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Finding the Third Proportional to 61,996 and 134,294

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Solution

The third proportional to 61,996 and 134,294 is: 290,903.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,996 : 134,294 = 134,294 : x
  2. Step 2: Convert to fraction form
    61,996/134,294 = 134,294/x
  3. Step 3: Cross multiply
    61,996x = 134,294 × 134,294
  4. Step 4: Simplify right side
    61,996x = 18,034,878,436
  5. Step 5: Solve for x
    x = 18,034,878,436/61,996
  6. Step 6: Final answer
    x = 290,903.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.