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Finding the Third Proportional to 103,905 and 160,825.50

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Solution

The third proportional to 103,905 and 160,825.50 is: 248,927.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,905 : 160,825.50 = 160,825.50 : x
  2. Step 2: Convert to fraction form
    103,905/160,825.50 = 160,825.50/x
  3. Step 3: Cross multiply
    103,905x = 160,825.50 × 160,825.50
  4. Step 4: Simplify right side
    103,905x = 25,864,841,450.25
  5. Step 5: Solve for x
    x = 25,864,841,450.25/103,905
  6. Step 6: Final answer
    x = 248,927.78

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