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Finding the Third Proportional to 127,089 and 275,099.63

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Solution

The third proportional to 127,089 and 275,099.63 is: 595,486.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,089 : 275,099.63 = 275,099.63 : x
  2. Step 2: Convert to fraction form
    127,089/275,099.63 = 275,099.63/x
  3. Step 3: Cross multiply
    127,089x = 275,099.63 × 275,099.63
  4. Step 4: Simplify right side
    127,089x = 75,679,803,675.14
  5. Step 5: Solve for x
    x = 75,679,803,675.14/127,089
  6. Step 6: Final answer
    x = 595,486.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.