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Finding the Third Proportional to 46,122 and 99,510

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Solution

The third proportional to 46,122 and 99,510 is: 214,696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,122 : 99,510 = 99,510 : x
  2. Step 2: Convert to fraction form
    46,122/99,510 = 99,510/x
  3. Step 3: Cross multiply
    46,122x = 99,510 × 99,510
  4. Step 4: Simplify right side
    46,122x = 9,902,240,100
  5. Step 5: Solve for x
    x = 9,902,240,100/46,122
  6. Step 6: Final answer
    x = 214,696.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.