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Finding the Third Proportional to 43,058 and 65,498

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Solution

The third proportional to 43,058 and 65,498 is: 99,632.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,058 : 65,498 = 65,498 : x
  2. Step 2: Convert to fraction form
    43,058/65,498 = 65,498/x
  3. Step 3: Cross multiply
    43,058x = 65,498 × 65,498
  4. Step 4: Simplify right side
    43,058x = 4,289,988,004
  5. Step 5: Solve for x
    x = 4,289,988,004/43,058
  6. Step 6: Final answer
    x = 99,632.77

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