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Finding the Third Proportional to 107,034 and 253,124

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Solution

The third proportional to 107,034 and 253,124 is: 598,611.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,034 : 253,124 = 253,124 : x
  2. Step 2: Convert to fraction form
    107,034/253,124 = 253,124/x
  3. Step 3: Cross multiply
    107,034x = 253,124 × 253,124
  4. Step 4: Simplify right side
    107,034x = 64,071,759,376
  5. Step 5: Solve for x
    x = 64,071,759,376/107,034
  6. Step 6: Final answer
    x = 598,611.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.