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Finding the Third Proportional to 113,052 and 174,971

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Solution

The third proportional to 113,052 and 174,971 is: 270,803.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,052 : 174,971 = 174,971 : x
  2. Step 2: Convert to fraction form
    113,052/174,971 = 174,971/x
  3. Step 3: Cross multiply
    113,052x = 174,971 × 174,971
  4. Step 4: Simplify right side
    113,052x = 30,614,850,841
  5. Step 5: Solve for x
    x = 30,614,850,841/113,052
  6. Step 6: Final answer
    x = 270,803.27

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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.