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Finding the Third Proportional to 46,522 and 100,010

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Solution

The third proportional to 46,522 and 100,010 is: 214,995.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,522 : 100,010 = 100,010 : x
  2. Step 2: Convert to fraction form
    46,522/100,010 = 100,010/x
  3. Step 3: Cross multiply
    46,522x = 100,010 × 100,010
  4. Step 4: Simplify right side
    46,522x = 10,002,000,100
  5. Step 5: Solve for x
    x = 10,002,000,100/46,522
  6. Step 6: Final answer
    x = 214,995.06

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.