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Finding the Third Proportional to 103,828.50 and 162,657

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Solution

The third proportional to 103,828.50 and 162,657 is: 254,817.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,828.50 : 162,657 = 162,657 : x
  2. Step 2: Convert to fraction form
    103,828.50/162,657 = 162,657/x
  3. Step 3: Cross multiply
    103,828.50x = 162,657 × 162,657
  4. Step 4: Simplify right side
    103,828.50x = 26,457,299,649
  5. Step 5: Solve for x
    x = 26,457,299,649/103,828.50
  6. Step 6: Final answer
    x = 254,817.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.