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Finding the Third Proportional to 103,720 and 160,152

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Solution

The third proportional to 103,720 and 160,152 is: 247,287.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,720 : 160,152 = 160,152 : x
  2. Step 2: Convert to fraction form
    103,720/160,152 = 160,152/x
  3. Step 3: Cross multiply
    103,720x = 160,152 × 160,152
  4. Step 4: Simplify right side
    103,720x = 25,648,663,104
  5. Step 5: Solve for x
    x = 25,648,663,104/103,720
  6. Step 6: Final answer
    x = 247,287.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.