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Finding the Third Proportional to 44,617 and 97,010

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Solution

The third proportional to 44,617 and 97,010 is: 210,927.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,617 : 97,010 = 97,010 : x
  2. Step 2: Convert to fraction form
    44,617/97,010 = 97,010/x
  3. Step 3: Cross multiply
    44,617x = 97,010 × 97,010
  4. Step 4: Simplify right side
    44,617x = 9,410,940,100
  5. Step 5: Solve for x
    x = 9,410,940,100/44,617
  6. Step 6: Final answer
    x = 210,927.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.