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Finding the Third Proportional to 42,168 and 65,808

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Solution

The third proportional to 42,168 and 65,808 is: 102,700.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,168 : 65,808 = 65,808 : x
  2. Step 2: Convert to fraction form
    42,168/65,808 = 65,808/x
  3. Step 3: Cross multiply
    42,168x = 65,808 × 65,808
  4. Step 4: Simplify right side
    42,168x = 4,330,692,864
  5. Step 5: Solve for x
    x = 4,330,692,864/42,168
  6. Step 6: Final answer
    x = 102,700.93

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.