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Finding the Third Proportional to 48,607 and 105,998

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Solution

The third proportional to 48,607 and 105,998 is: 231,151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,607 : 105,998 = 105,998 : x
  2. Step 2: Convert to fraction form
    48,607/105,998 = 105,998/x
  3. Step 3: Cross multiply
    48,607x = 105,998 × 105,998
  4. Step 4: Simplify right side
    48,607x = 11,235,576,004
  5. Step 5: Solve for x
    x = 11,235,576,004/48,607
  6. Step 6: Final answer
    x = 231,151.40

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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.