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Finding the Third Proportional to 103,424 and 162,513

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Solution

The third proportional to 103,424 and 162,513 is: 255,361.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,424 : 162,513 = 162,513 : x
  2. Step 2: Convert to fraction form
    103,424/162,513 = 162,513/x
  3. Step 3: Cross multiply
    103,424x = 162,513 × 162,513
  4. Step 4: Simplify right side
    103,424x = 26,410,475,169
  5. Step 5: Solve for x
    x = 26,410,475,169/103,424
  6. Step 6: Final answer
    x = 255,361.18

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.