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Finding the Third Proportional to 114,795 and 153,967.50

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Solution

The third proportional to 114,795 and 153,967.50 is: 206,507.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,795 : 153,967.50 = 153,967.50 : x
  2. Step 2: Convert to fraction form
    114,795/153,967.50 = 153,967.50/x
  3. Step 3: Cross multiply
    114,795x = 153,967.50 × 153,967.50
  4. Step 4: Simplify right side
    114,795x = 23,705,991,056.25
  5. Step 5: Solve for x
    x = 23,705,991,056.25/114,795
  6. Step 6: Final answer
    x = 206,507.17

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.