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Finding the Third Proportional to 77,820 and 118,674

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Solution

The third proportional to 77,820 and 118,674 is: 180,975.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,820 : 118,674 = 118,674 : x
  2. Step 2: Convert to fraction form
    77,820/118,674 = 118,674/x
  3. Step 3: Cross multiply
    77,820x = 118,674 × 118,674
  4. Step 4: Simplify right side
    77,820x = 14,083,518,276
  5. Step 5: Solve for x
    x = 14,083,518,276/77,820
  6. Step 6: Final answer
    x = 180,975.56

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.