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Finding the Third Proportional to 56,457 and 101,898

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Solution

The third proportional to 56,457 and 101,898 is: 183,913.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,457 : 101,898 = 101,898 : x
  2. Step 2: Convert to fraction form
    56,457/101,898 = 101,898/x
  3. Step 3: Cross multiply
    56,457x = 101,898 × 101,898
  4. Step 4: Simplify right side
    56,457x = 10,383,202,404
  5. Step 5: Solve for x
    x = 10,383,202,404/56,457
  6. Step 6: Final answer
    x = 183,913.46

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.