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Finding the Third Proportional to 93,705.75 and 150,908.25

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Solution

The third proportional to 93,705.75 and 150,908.25 is: 243,029.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,705.75 : 150,908.25 = 150,908.25 : x
  2. Step 2: Convert to fraction form
    93,705.75/150,908.25 = 150,908.25/x
  3. Step 3: Cross multiply
    93,705.75x = 150,908.25 × 150,908.25
  4. Step 4: Simplify right side
    93,705.75x = 22,773,299,918.06
  5. Step 5: Solve for x
    x = 22,773,299,918.06/93,705.75
  6. Step 6: Final answer
    x = 243,029.91

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.