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Finding the Third Proportional to 54,216 and 120,046

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Solution

The third proportional to 54,216 and 120,046 is: 265,807.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,216 : 120,046 = 120,046 : x
  2. Step 2: Convert to fraction form
    54,216/120,046 = 120,046/x
  3. Step 3: Cross multiply
    54,216x = 120,046 × 120,046
  4. Step 4: Simplify right side
    54,216x = 14,411,042,116
  5. Step 5: Solve for x
    x = 14,411,042,116/54,216
  6. Step 6: Final answer
    x = 265,807.92

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.