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Finding the Third Proportional to 61,410 and 134,510

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Solution

The third proportional to 61,410 and 134,510 is: 294,625.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,410 : 134,510 = 134,510 : x
  2. Step 2: Convert to fraction form
    61,410/134,510 = 134,510/x
  3. Step 3: Cross multiply
    61,410x = 134,510 × 134,510
  4. Step 4: Simplify right side
    61,410x = 18,092,940,100
  5. Step 5: Solve for x
    x = 18,092,940,100/61,410
  6. Step 6: Final answer
    x = 294,625.31

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