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Finding the Third Proportional to 54,360 and 118,688

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Solution

The third proportional to 54,360 and 118,688 is: 259,139.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,360 : 118,688 = 118,688 : x
  2. Step 2: Convert to fraction form
    54,360/118,688 = 118,688/x
  3. Step 3: Cross multiply
    54,360x = 118,688 × 118,688
  4. Step 4: Simplify right side
    54,360x = 14,086,841,344
  5. Step 5: Solve for x
    x = 14,086,841,344/54,360
  6. Step 6: Final answer
    x = 259,139.83

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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.