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Finding the Third Proportional to 42,904 and 65,632

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Solution

The third proportional to 42,904 and 65,632 is: 100,399.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,904 : 65,632 = 65,632 : x
  2. Step 2: Convert to fraction form
    42,904/65,632 = 65,632/x
  3. Step 3: Cross multiply
    42,904x = 65,632 × 65,632
  4. Step 4: Simplify right side
    42,904x = 4,307,559,424
  5. Step 5: Solve for x
    x = 4,307,559,424/42,904
  6. Step 6: Final answer
    x = 100,399.95

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.