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Finding the Third Proportional to 113,030 and 171,003

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Solution

The third proportional to 113,030 and 171,003 is: 258,710.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,030 : 171,003 = 171,003 : x
  2. Step 2: Convert to fraction form
    113,030/171,003 = 171,003/x
  3. Step 3: Cross multiply
    113,030x = 171,003 × 171,003
  4. Step 4: Simplify right side
    113,030x = 29,242,026,009
  5. Step 5: Solve for x
    x = 29,242,026,009/113,030
  6. Step 6: Final answer
    x = 258,710.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.