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Finding the Third Proportional to 115,006 and 174,584

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Solution

The third proportional to 115,006 and 174,584 is: 265,025.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,006 : 174,584 = 174,584 : x
  2. Step 2: Convert to fraction form
    115,006/174,584 = 174,584/x
  3. Step 3: Cross multiply
    115,006x = 174,584 × 174,584
  4. Step 4: Simplify right side
    115,006x = 30,479,573,056
  5. Step 5: Solve for x
    x = 30,479,573,056/115,006
  6. Step 6: Final answer
    x = 265,025.94

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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.