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Finding the Third Proportional to 46,240 and 98,240

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Solution

The third proportional to 46,240 and 98,240 is: 208,717.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,240 : 98,240 = 98,240 : x
  2. Step 2: Convert to fraction form
    46,240/98,240 = 98,240/x
  3. Step 3: Cross multiply
    46,240x = 98,240 × 98,240
  4. Step 4: Simplify right side
    46,240x = 9,651,097,600
  5. Step 5: Solve for x
    x = 9,651,097,600/46,240
  6. Step 6: Final answer
    x = 208,717.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.