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Finding the Third Proportional to 102,364 and 143,340

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Solution

The third proportional to 102,364 and 143,340 is: 200,718.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,364 : 143,340 = 143,340 : x
  2. Step 2: Convert to fraction form
    102,364/143,340 = 143,340/x
  3. Step 3: Cross multiply
    102,364x = 143,340 × 143,340
  4. Step 4: Simplify right side
    102,364x = 20,546,355,600
  5. Step 5: Solve for x
    x = 20,546,355,600/102,364
  6. Step 6: Final answer
    x = 200,718.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.