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Finding the Third Proportional to 105,119 and 158,772

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Solution

The third proportional to 105,119 and 158,772 is: 239,809.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,119 : 158,772 = 158,772 : x
  2. Step 2: Convert to fraction form
    105,119/158,772 = 158,772/x
  3. Step 3: Cross multiply
    105,119x = 158,772 × 158,772
  4. Step 4: Simplify right side
    105,119x = 25,208,547,984
  5. Step 5: Solve for x
    x = 25,208,547,984/105,119
  6. Step 6: Final answer
    x = 239,809.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.