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Finding the Third Proportional to 105,095.25 and 160,073.25

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Solution

The third proportional to 105,095.25 and 160,073.25 is: 243,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,095.25 : 160,073.25 = 160,073.25 : x
  2. Step 2: Convert to fraction form
    105,095.25/160,073.25 = 160,073.25/x
  3. Step 3: Cross multiply
    105,095.25x = 160,073.25 × 160,073.25
  4. Step 4: Simplify right side
    105,095.25x = 25,623,445,365.56
  5. Step 5: Solve for x
    x = 25,623,445,365.56/105,095.25
  6. Step 6: Final answer
    x = 243,811.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.