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Finding the Third Proportional to 58,360 and 127,282

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Solution

The third proportional to 58,360 and 127,282 is: 277,599.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,360 : 127,282 = 127,282 : x
  2. Step 2: Convert to fraction form
    58,360/127,282 = 127,282/x
  3. Step 3: Cross multiply
    58,360x = 127,282 × 127,282
  4. Step 4: Simplify right side
    58,360x = 16,200,707,524
  5. Step 5: Solve for x
    x = 16,200,707,524/58,360
  6. Step 6: Final answer
    x = 277,599.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.