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Finding the Third Proportional to 54,155 and 112,643

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Solution

The third proportional to 54,155 and 112,643 is: 234,298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,155 : 112,643 = 112,643 : x
  2. Step 2: Convert to fraction form
    54,155/112,643 = 112,643/x
  3. Step 3: Cross multiply
    54,155x = 112,643 × 112,643
  4. Step 4: Simplify right side
    54,155x = 12,688,445,449
  5. Step 5: Solve for x
    x = 12,688,445,449/54,155
  6. Step 6: Final answer
    x = 234,298.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.