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Finding the Third Proportional to 105,385 and 160,703.25

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Solution

The third proportional to 105,385 and 160,703.25 is: 245,058.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,385 : 160,703.25 = 160,703.25 : x
  2. Step 2: Convert to fraction form
    105,385/160,703.25 = 160,703.25/x
  3. Step 3: Cross multiply
    105,385x = 160,703.25 × 160,703.25
  4. Step 4: Simplify right side
    105,385x = 25,825,534,560.56
  5. Step 5: Solve for x
    x = 25,825,534,560.56/105,385
  6. Step 6: Final answer
    x = 245,058.92

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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.