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Finding the Third Proportional to 115,004 and 174,581

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Solution

The third proportional to 115,004 and 174,581 is: 265,021.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,004 : 174,581 = 174,581 : x
  2. Step 2: Convert to fraction form
    115,004/174,581 = 174,581/x
  3. Step 3: Cross multiply
    115,004x = 174,581 × 174,581
  4. Step 4: Simplify right side
    115,004x = 30,478,525,561
  5. Step 5: Solve for x
    x = 30,478,525,561/115,004
  6. Step 6: Final answer
    x = 265,021.44

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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.