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Finding the Third Proportional to 54,280 and 118,117

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Solution

The third proportional to 54,280 and 118,117 is: 257,030.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,280 : 118,117 = 118,117 : x
  2. Step 2: Convert to fraction form
    54,280/118,117 = 118,117/x
  3. Step 3: Cross multiply
    54,280x = 118,117 × 118,117
  4. Step 4: Simplify right side
    54,280x = 13,951,625,689
  5. Step 5: Solve for x
    x = 13,951,625,689/54,280
  6. Step 6: Final answer
    x = 257,030.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.