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Finding the Third Proportional to 58,546 and 90,791

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Solution

The third proportional to 58,546 and 90,791 is: 140,795.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,546 : 90,791 = 90,791 : x
  2. Step 2: Convert to fraction form
    58,546/90,791 = 90,791/x
  3. Step 3: Cross multiply
    58,546x = 90,791 × 90,791
  4. Step 4: Simplify right side
    58,546x = 8,243,005,681
  5. Step 5: Solve for x
    x = 8,243,005,681/58,546
  6. Step 6: Final answer
    x = 140,795.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.