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Finding the Third Proportional to 110,052.50 and 174,928

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Solution

The third proportional to 110,052.50 and 174,928 is: 278,047.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,052.50 : 174,928 = 174,928 : x
  2. Step 2: Convert to fraction form
    110,052.50/174,928 = 174,928/x
  3. Step 3: Cross multiply
    110,052.50x = 174,928 × 174,928
  4. Step 4: Simplify right side
    110,052.50x = 30,599,805,184
  5. Step 5: Solve for x
    x = 30,599,805,184/110,052.50
  6. Step 6: Final answer
    x = 278,047.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.