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Finding the Third Proportional to 103,617 and 160,610

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Solution

The third proportional to 103,617 and 160,610 is: 248,951.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,617 : 160,610 = 160,610 : x
  2. Step 2: Convert to fraction form
    103,617/160,610 = 160,610/x
  3. Step 3: Cross multiply
    103,617x = 160,610 × 160,610
  4. Step 4: Simplify right side
    103,617x = 25,795,572,100
  5. Step 5: Solve for x
    x = 25,795,572,100/103,617
  6. Step 6: Final answer
    x = 248,951.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.