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Finding the Third Proportional to 102,390.75 and 160,274.50

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Solution

The third proportional to 102,390.75 and 160,274.50 is: 250,881.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,390.75 : 160,274.50 = 160,274.50 : x
  2. Step 2: Convert to fraction form
    102,390.75/160,274.50 = 160,274.50/x
  3. Step 3: Cross multiply
    102,390.75x = 160,274.50 × 160,274.50
  4. Step 4: Simplify right side
    102,390.75x = 25,687,915,350.25
  5. Step 5: Solve for x
    x = 25,687,915,350.25/102,390.75
  6. Step 6: Final answer
    x = 250,881.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.