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Finding the Third Proportional to 102,360 and 155,112

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Solution

The third proportional to 102,360 and 155,112 is: 235,050.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,360 : 155,112 = 155,112 : x
  2. Step 2: Convert to fraction form
    102,360/155,112 = 155,112/x
  3. Step 3: Cross multiply
    102,360x = 155,112 × 155,112
  4. Step 4: Simplify right side
    102,360x = 24,059,732,544
  5. Step 5: Solve for x
    x = 24,059,732,544/102,360
  6. Step 6: Final answer
    x = 235,050.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.