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Finding the Third Proportional to 46,246 and 98,252

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Solution

The third proportional to 46,246 and 98,252 is: 208,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,246 : 98,252 = 98,252 : x
  2. Step 2: Convert to fraction form
    46,246/98,252 = 98,252/x
  3. Step 3: Cross multiply
    46,246x = 98,252 × 98,252
  4. Step 4: Simplify right side
    46,246x = 9,653,455,504
  5. Step 5: Solve for x
    x = 9,653,455,504/46,246
  6. Step 6: Final answer
    x = 208,741.42

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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.