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Finding the Third Proportional to 58,889 and 87,190

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Solution

The third proportional to 58,889 and 87,190 is: 129,091.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,889 : 87,190 = 87,190 : x
  2. Step 2: Convert to fraction form
    58,889/87,190 = 87,190/x
  3. Step 3: Cross multiply
    58,889x = 87,190 × 87,190
  4. Step 4: Simplify right side
    58,889x = 7,602,096,100
  5. Step 5: Solve for x
    x = 7,602,096,100/58,889
  6. Step 6: Final answer
    x = 129,091.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.