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Finding the Third Proportional to 54,590 and 118,396

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Solution

The third proportional to 54,590 and 118,396 is: 256,779.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,590 : 118,396 = 118,396 : x
  2. Step 2: Convert to fraction form
    54,590/118,396 = 118,396/x
  3. Step 3: Cross multiply
    54,590x = 118,396 × 118,396
  4. Step 4: Simplify right side
    54,590x = 14,017,612,816
  5. Step 5: Solve for x
    x = 14,017,612,816/54,590
  6. Step 6: Final answer
    x = 256,779.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.