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Finding the Third Proportional to 104,895 and 160,456.50

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Solution

The third proportional to 104,895 and 160,456.50 is: 245,448.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,895 : 160,456.50 = 160,456.50 : x
  2. Step 2: Convert to fraction form
    104,895/160,456.50 = 160,456.50/x
  3. Step 3: Cross multiply
    104,895x = 160,456.50 × 160,456.50
  4. Step 4: Simplify right side
    104,895x = 25,746,288,392.25
  5. Step 5: Solve for x
    x = 25,746,288,392.25/104,895
  6. Step 6: Final answer
    x = 245,448.19

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.