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Finding the Third Proportional to 59,282 and 125,236

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Solution

The third proportional to 59,282 and 125,236 is: 264,566.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,282 : 125,236 = 125,236 : x
  2. Step 2: Convert to fraction form
    59,282/125,236 = 125,236/x
  3. Step 3: Cross multiply
    59,282x = 125,236 × 125,236
  4. Step 4: Simplify right side
    59,282x = 15,684,055,696
  5. Step 5: Solve for x
    x = 15,684,055,696/59,282
  6. Step 6: Final answer
    x = 264,566.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.