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Finding the Third Proportional to 110,773 and 162,457

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Solution

The third proportional to 110,773 and 162,457 is: 238,255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,773 : 162,457 = 162,457 : x
  2. Step 2: Convert to fraction form
    110,773/162,457 = 162,457/x
  3. Step 3: Cross multiply
    110,773x = 162,457 × 162,457
  4. Step 4: Simplify right side
    110,773x = 26,392,276,849
  5. Step 5: Solve for x
    x = 26,392,276,849/110,773
  6. Step 6: Final answer
    x = 238,255.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.