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Finding the Third Proportional to 113,047 and 174,963

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Solution

The third proportional to 113,047 and 174,963 is: 270,790.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,047 : 174,963 = 174,963 : x
  2. Step 2: Convert to fraction form
    113,047/174,963 = 174,963/x
  3. Step 3: Cross multiply
    113,047x = 174,963 × 174,963
  4. Step 4: Simplify right side
    113,047x = 30,612,051,369
  5. Step 5: Solve for x
    x = 30,612,051,369/113,047
  6. Step 6: Final answer
    x = 270,790.48

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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.