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Finding the Third Proportional to 103,983 and 165,289.50

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Solution

The third proportional to 103,983 and 165,289.50 is: 262,741.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,983 : 165,289.50 = 165,289.50 : x
  2. Step 2: Convert to fraction form
    103,983/165,289.50 = 165,289.50/x
  3. Step 3: Cross multiply
    103,983x = 165,289.50 × 165,289.50
  4. Step 4: Simplify right side
    103,983x = 27,320,618,810.25
  5. Step 5: Solve for x
    x = 27,320,618,810.25/103,983
  6. Step 6: Final answer
    x = 262,741.21

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.