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Finding the Third Proportional to 103,576 and 155,310

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Solution

The third proportional to 103,576 and 155,310 is: 232,884.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,576 : 155,310 = 155,310 : x
  2. Step 2: Convert to fraction form
    103,576/155,310 = 155,310/x
  3. Step 3: Cross multiply
    103,576x = 155,310 × 155,310
  4. Step 4: Simplify right side
    103,576x = 24,121,196,100
  5. Step 5: Solve for x
    x = 24,121,196,100/103,576
  6. Step 6: Final answer
    x = 232,884.03

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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.