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Finding the Third Proportional to 46,172 and 98,488

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Solution

The third proportional to 46,172 and 98,488 is: 210,081.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,172 : 98,488 = 98,488 : x
  2. Step 2: Convert to fraction form
    46,172/98,488 = 98,488/x
  3. Step 3: Cross multiply
    46,172x = 98,488 × 98,488
  4. Step 4: Simplify right side
    46,172x = 9,699,886,144
  5. Step 5: Solve for x
    x = 9,699,886,144/46,172
  6. Step 6: Final answer
    x = 210,081.57

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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.