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Finding the Third Proportional to 58,391 and 126,991

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Solution

The third proportional to 58,391 and 126,991 is: 276,184.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,391 : 126,991 = 126,991 : x
  2. Step 2: Convert to fraction form
    58,391/126,991 = 126,991/x
  3. Step 3: Cross multiply
    58,391x = 126,991 × 126,991
  4. Step 4: Simplify right side
    58,391x = 16,126,714,081
  5. Step 5: Solve for x
    x = 16,126,714,081/58,391
  6. Step 6: Final answer
    x = 276,184.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.