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Finding the Third Proportional to 105,952.50 and 160,008.75

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Solution

The third proportional to 105,952.50 and 160,008.75 is: 241,644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,952.50 : 160,008.75 = 160,008.75 : x
  2. Step 2: Convert to fraction form
    105,952.50/160,008.75 = 160,008.75/x
  3. Step 3: Cross multiply
    105,952.50x = 160,008.75 × 160,008.75
  4. Step 4: Simplify right side
    105,952.50x = 25,602,800,076.56
  5. Step 5: Solve for x
    x = 25,602,800,076.56/105,952.50
  6. Step 6: Final answer
    x = 241,644.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.