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Finding the Third Proportional to 77,980.75 and 111,430

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Solution

The third proportional to 77,980.75 and 111,430 is: 159,227.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,980.75 : 111,430 = 111,430 : x
  2. Step 2: Convert to fraction form
    77,980.75/111,430 = 111,430/x
  3. Step 3: Cross multiply
    77,980.75x = 111,430 × 111,430
  4. Step 4: Simplify right side
    77,980.75x = 12,416,644,900
  5. Step 5: Solve for x
    x = 12,416,644,900/77,980.75
  6. Step 6: Final answer
    x = 159,227.05

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.