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Finding the Third Proportional to 52,744 and 70,457

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Solution

The third proportional to 52,744 and 70,457 is: 94,118.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,744 : 70,457 = 70,457 : x
  2. Step 2: Convert to fraction form
    52,744/70,457 = 70,457/x
  3. Step 3: Cross multiply
    52,744x = 70,457 × 70,457
  4. Step 4: Simplify right side
    52,744x = 4,964,188,849
  5. Step 5: Solve for x
    x = 4,964,188,849/52,744
  6. Step 6: Final answer
    x = 94,118.55

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.