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Finding the Third Proportional to 155,007 and 164,233.50

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Solution

The third proportional to 155,007 and 164,233.50 is: 174,009.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,007 : 164,233.50 = 164,233.50 : x
  2. Step 2: Convert to fraction form
    155,007/164,233.50 = 164,233.50/x
  3. Step 3: Cross multiply
    155,007x = 164,233.50 × 164,233.50
  4. Step 4: Simplify right side
    155,007x = 26,972,642,522.25
  5. Step 5: Solve for x
    x = 26,972,642,522.25/155,007
  6. Step 6: Final answer
    x = 174,009.19

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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.