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Finding the Third Proportional to 58,504 and 91,681

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Solution

The third proportional to 58,504 and 91,681 is: 143,672.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,504 : 91,681 = 91,681 : x
  2. Step 2: Convert to fraction form
    58,504/91,681 = 91,681/x
  3. Step 3: Cross multiply
    58,504x = 91,681 × 91,681
  4. Step 4: Simplify right side
    58,504x = 8,405,405,761
  5. Step 5: Solve for x
    x = 8,405,405,761/58,504
  6. Step 6: Final answer
    x = 143,672.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.