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Finding the Third Proportional to 112,527 and 169,155

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Solution

The third proportional to 112,527 and 169,155 is: 254,280.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,527 : 169,155 = 169,155 : x
  2. Step 2: Convert to fraction form
    112,527/169,155 = 169,155/x
  3. Step 3: Cross multiply
    112,527x = 169,155 × 169,155
  4. Step 4: Simplify right side
    112,527x = 28,613,414,025
  5. Step 5: Solve for x
    x = 28,613,414,025/112,527
  6. Step 6: Final answer
    x = 254,280.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.