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Finding the Third Proportional to 115,018 and 174,596

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Solution

The third proportional to 115,018 and 174,596 is: 265,034.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,018 : 174,596 = 174,596 : x
  2. Step 2: Convert to fraction form
    115,018/174,596 = 174,596/x
  3. Step 3: Cross multiply
    115,018x = 174,596 × 174,596
  4. Step 4: Simplify right side
    115,018x = 30,483,763,216
  5. Step 5: Solve for x
    x = 30,483,763,216/115,018
  6. Step 6: Final answer
    x = 265,034.72

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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.