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Finding the Third Proportional to 112,259.50 and 174,309

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Solution

The third proportional to 112,259.50 and 174,309 is: 270,655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,259.50 : 174,309 = 174,309 : x
  2. Step 2: Convert to fraction form
    112,259.50/174,309 = 174,309/x
  3. Step 3: Cross multiply
    112,259.50x = 174,309 × 174,309
  4. Step 4: Simplify right side
    112,259.50x = 30,383,627,481
  5. Step 5: Solve for x
    x = 30,383,627,481/112,259.50
  6. Step 6: Final answer
    x = 270,655.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.