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Finding the Third Proportional to 58,858 and 89,647

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Solution

The third proportional to 58,858 and 89,647 is: 136,541.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,858 : 89,647 = 89,647 : x
  2. Step 2: Convert to fraction form
    58,858/89,647 = 89,647/x
  3. Step 3: Cross multiply
    58,858x = 89,647 × 89,647
  4. Step 4: Simplify right side
    58,858x = 8,036,584,609
  5. Step 5: Solve for x
    x = 8,036,584,609/58,858
  6. Step 6: Final answer
    x = 136,541.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.