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Finding the Third Proportional to 58,072 and 87,910

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Solution

The third proportional to 58,072 and 87,910 is: 133,079.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,072 : 87,910 = 87,910 : x
  2. Step 2: Convert to fraction form
    58,072/87,910 = 87,910/x
  3. Step 3: Cross multiply
    58,072x = 87,910 × 87,910
  4. Step 4: Simplify right side
    58,072x = 7,728,168,100
  5. Step 5: Solve for x
    x = 7,728,168,100/58,072
  6. Step 6: Final answer
    x = 133,079.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.