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Finding the Third Proportional to 61,380 and 134,471

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Solution

The third proportional to 61,380 and 134,471 is: 294,598.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,380 : 134,471 = 134,471 : x
  2. Step 2: Convert to fraction form
    61,380/134,471 = 134,471/x
  3. Step 3: Cross multiply
    61,380x = 134,471 × 134,471
  4. Step 4: Simplify right side
    61,380x = 18,082,449,841
  5. Step 5: Solve for x
    x = 18,082,449,841/61,380
  6. Step 6: Final answer
    x = 294,598.40

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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.