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Finding the Third Proportional to 115,155 and 174,501

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Solution

The third proportional to 115,155 and 174,501 is: 264,431.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,155 : 174,501 = 174,501 : x
  2. Step 2: Convert to fraction form
    115,155/174,501 = 174,501/x
  3. Step 3: Cross multiply
    115,155x = 174,501 × 174,501
  4. Step 4: Simplify right side
    115,155x = 30,450,599,001
  5. Step 5: Solve for x
    x = 30,450,599,001/115,155
  6. Step 6: Final answer
    x = 264,431.41

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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.