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Finding the Third Proportional to 103,830.75 and 162,666

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Solution

The third proportional to 103,830.75 and 162,666 is: 254,839.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,830.75 : 162,666 = 162,666 : x
  2. Step 2: Convert to fraction form
    103,830.75/162,666 = 162,666/x
  3. Step 3: Cross multiply
    103,830.75x = 162,666 × 162,666
  4. Step 4: Simplify right side
    103,830.75x = 26,460,227,556
  5. Step 5: Solve for x
    x = 26,460,227,556/103,830.75
  6. Step 6: Final answer
    x = 254,839.99

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.