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Finding the Third Proportional to 52,768 and 112,457

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Solution

The third proportional to 52,768 and 112,457 is: 239,663.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,768 : 112,457 = 112,457 : x
  2. Step 2: Convert to fraction form
    52,768/112,457 = 112,457/x
  3. Step 3: Cross multiply
    52,768x = 112,457 × 112,457
  4. Step 4: Simplify right side
    52,768x = 12,646,576,849
  5. Step 5: Solve for x
    x = 12,646,576,849/52,768
  6. Step 6: Final answer
    x = 239,663.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.