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Finding the Third Proportional to 111,457 and 171,073.50

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Solution

The third proportional to 111,457 and 171,073.50 is: 262,577.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,457 : 171,073.50 = 171,073.50 : x
  2. Step 2: Convert to fraction form
    111,457/171,073.50 = 171,073.50/x
  3. Step 3: Cross multiply
    111,457x = 171,073.50 × 171,073.50
  4. Step 4: Simplify right side
    111,457x = 29,266,142,402.25
  5. Step 5: Solve for x
    x = 29,266,142,402.25/111,457
  6. Step 6: Final answer
    x = 262,577.88

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Why These Related Problems?

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