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Finding the Third Proportional to 110,365 and 174,875

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Solution

The third proportional to 110,365 and 174,875 is: 277,092.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,365 : 174,875 = 174,875 : x
  2. Step 2: Convert to fraction form
    110,365/174,875 = 174,875/x
  3. Step 3: Cross multiply
    110,365x = 174,875 × 174,875
  4. Step 4: Simplify right side
    110,365x = 30,581,265,625
  5. Step 5: Solve for x
    x = 30,581,265,625/110,365
  6. Step 6: Final answer
    x = 277,092.06

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.