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Finding the Third Proportional to 155,003.63 and 164,230.03

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Solution

The third proportional to 155,003.63 and 164,230.03 is: 174,005.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,003.63 : 164,230.03 = 164,230.03 : x
  2. Step 2: Convert to fraction form
    155,003.63/164,230.03 = 164,230.03/x
  3. Step 3: Cross multiply
    155,003.63x = 164,230.03 × 164,230.03
  4. Step 4: Simplify right side
    155,003.63x = 26,971,503,164.38
  5. Step 5: Solve for x
    x = 26,971,503,164.38/155,003.63
  6. Step 6: Final answer
    x = 174,005.63

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These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.