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Finding the Third Proportional to 46,176 and 98,496

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Solution

The third proportional to 46,176 and 98,496 is: 210,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,176 : 98,496 = 98,496 : x
  2. Step 2: Convert to fraction form
    46,176/98,496 = 98,496/x
  3. Step 3: Cross multiply
    46,176x = 98,496 × 98,496
  4. Step 4: Simplify right side
    46,176x = 9,701,462,016
  5. Step 5: Solve for x
    x = 9,701,462,016/46,176
  6. Step 6: Final answer
    x = 210,097.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.