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Finding the Third Proportional to 127,537.03 and 190,639.20

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Solution

The third proportional to 127,537.03 and 190,639.20 is: 284,962.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,537.03 : 190,639.20 = 190,639.20 : x
  2. Step 2: Convert to fraction form
    127,537.03/190,639.20 = 190,639.20/x
  3. Step 3: Cross multiply
    127,537.03x = 190,639.20 × 190,639.20
  4. Step 4: Simplify right side
    127,537.03x = 36,343,302,789.40
  5. Step 5: Solve for x
    x = 36,343,302,789.40/127,537.03
  6. Step 6: Final answer
    x = 284,962.75

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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.