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Finding the Third Proportional to 61,510 and 134,509

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Solution

The third proportional to 61,510 and 134,509 is: 294,141.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,510 : 134,509 = 134,509 : x
  2. Step 2: Convert to fraction form
    61,510/134,509 = 134,509/x
  3. Step 3: Cross multiply
    61,510x = 134,509 × 134,509
  4. Step 4: Simplify right side
    61,510x = 18,092,671,081
  5. Step 5: Solve for x
    x = 18,092,671,081/61,510
  6. Step 6: Final answer
    x = 294,141.95

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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.