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Finding the Third Proportional to 59,099 and 127,594

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Solution

The third proportional to 59,099 and 127,594 is: 275,473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,099 : 127,594 = 127,594 : x
  2. Step 2: Convert to fraction form
    59,099/127,594 = 127,594/x
  3. Step 3: Cross multiply
    59,099x = 127,594 × 127,594
  4. Step 4: Simplify right side
    59,099x = 16,280,228,836
  5. Step 5: Solve for x
    x = 16,280,228,836/59,099
  6. Step 6: Final answer
    x = 275,473.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.