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Finding the Third Proportional to 64,692 and 141,414

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Solution

The third proportional to 64,692 and 141,414 is: 309,125.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,692 : 141,414 = 141,414 : x
  2. Step 2: Convert to fraction form
    64,692/141,414 = 141,414/x
  3. Step 3: Cross multiply
    64,692x = 141,414 × 141,414
  4. Step 4: Simplify right side
    64,692x = 19,997,919,396
  5. Step 5: Solve for x
    x = 19,997,919,396/64,692
  6. Step 6: Final answer
    x = 309,125.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.