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Finding the Third Proportional to 77,966.75 and 118,052

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Solution

The third proportional to 77,966.75 and 118,052 is: 178,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,966.75 : 118,052 = 118,052 : x
  2. Step 2: Convert to fraction form
    77,966.75/118,052 = 118,052/x
  3. Step 3: Cross multiply
    77,966.75x = 118,052 × 118,052
  4. Step 4: Simplify right side
    77,966.75x = 13,936,274,704
  5. Step 5: Solve for x
    x = 13,936,274,704/77,966.75
  6. Step 6: Final answer
    x = 178,746.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.