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Finding the Third Proportional to 96,260 and 144,390

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Solution

The third proportional to 96,260 and 144,390 is: 216,585

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,260 : 144,390 = 144,390 : x
  2. Step 2: Convert to fraction form
    96,260/144,390 = 144,390/x
  3. Step 3: Cross multiply
    96,260x = 144,390 × 144,390
  4. Step 4: Simplify right side
    96,260x = 20,848,472,100
  5. Step 5: Solve for x
    x = 20,848,472,100/96,260
  6. Step 6: Final answer
    x = 216,585

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.