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Finding the Third Proportional to 58,987.25 and 127,813.75

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Solution

The third proportional to 58,987.25 and 127,813.75 is: 276,947.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,987.25 : 127,813.75 = 127,813.75 : x
  2. Step 2: Convert to fraction form
    58,987.25/127,813.75 = 127,813.75/x
  3. Step 3: Cross multiply
    58,987.25x = 127,813.75 × 127,813.75
  4. Step 4: Simplify right side
    58,987.25x = 16,336,354,689.06
  5. Step 5: Solve for x
    x = 16,336,354,689.06/58,987.25
  6. Step 6: Final answer
    x = 276,947.22

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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.