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Finding the Third Proportional to 58,512 and 126,222

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Solution

The third proportional to 58,512 and 126,222 is: 272,285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,512 : 126,222 = 126,222 : x
  2. Step 2: Convert to fraction form
    58,512/126,222 = 126,222/x
  3. Step 3: Cross multiply
    58,512x = 126,222 × 126,222
  4. Step 4: Simplify right side
    58,512x = 15,931,993,284
  5. Step 5: Solve for x
    x = 15,931,993,284/58,512
  6. Step 6: Final answer
    x = 272,285.91

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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.