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Finding the Third Proportional to 119,090.25 and 189,570.38

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Solution

The third proportional to 119,090.25 and 189,570.38 is: 301,762.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,090.25 : 189,570.38 = 189,570.38 : x
  2. Step 2: Convert to fraction form
    119,090.25/189,570.38 = 189,570.38/x
  3. Step 3: Cross multiply
    119,090.25x = 189,570.38 × 189,570.38
  4. Step 4: Simplify right side
    119,090.25x = 35,936,927,077.64
  5. Step 5: Solve for x
    x = 35,936,927,077.64/119,090.25
  6. Step 6: Final answer
    x = 301,762.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.