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Finding the Third Proportional to 113,070 and 175,831

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Solution

The third proportional to 113,070 and 175,831 is: 273,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,070 : 175,831 = 175,831 : x
  2. Step 2: Convert to fraction form
    113,070/175,831 = 175,831/x
  3. Step 3: Cross multiply
    113,070x = 175,831 × 175,831
  4. Step 4: Simplify right side
    113,070x = 30,916,540,561
  5. Step 5: Solve for x
    x = 30,916,540,561/113,070
  6. Step 6: Final answer
    x = 273,428.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.