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Finding the Third Proportional to 113,852 and 169,852

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Solution

The third proportional to 113,852 and 169,852 is: 253,396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,852 : 169,852 = 169,852 : x
  2. Step 2: Convert to fraction form
    113,852/169,852 = 169,852/x
  3. Step 3: Cross multiply
    113,852x = 169,852 × 169,852
  4. Step 4: Simplify right side
    113,852x = 28,849,701,904
  5. Step 5: Solve for x
    x = 28,849,701,904/113,852
  6. Step 6: Final answer
    x = 253,396.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.