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Finding the Third Proportional to 100,541.25 and 149,445

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Solution

The third proportional to 100,541.25 and 149,445 is: 222,135.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,541.25 : 149,445 = 149,445 : x
  2. Step 2: Convert to fraction form
    100,541.25/149,445 = 149,445/x
  3. Step 3: Cross multiply
    100,541.25x = 149,445 × 149,445
  4. Step 4: Simplify right side
    100,541.25x = 22,333,808,025
  5. Step 5: Solve for x
    x = 22,333,808,025/100,541.25
  6. Step 6: Final answer
    x = 222,135.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.