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Finding the Third Proportional to 46,858 and 102,128

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Solution

The third proportional to 46,858 and 102,128 is: 222,590.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,858 : 102,128 = 102,128 : x
  2. Step 2: Convert to fraction form
    46,858/102,128 = 102,128/x
  3. Step 3: Cross multiply
    46,858x = 102,128 × 102,128
  4. Step 4: Simplify right side
    46,858x = 10,430,128,384
  5. Step 5: Solve for x
    x = 10,430,128,384/46,858
  6. Step 6: Final answer
    x = 222,590.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.