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Finding the Third Proportional to 77,848 and 118,716

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Solution

The third proportional to 77,848 and 118,716 is: 181,038.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,848 : 118,716 = 118,716 : x
  2. Step 2: Convert to fraction form
    77,848/118,716 = 118,716/x
  3. Step 3: Cross multiply
    77,848x = 118,716 × 118,716
  4. Step 4: Simplify right side
    77,848x = 14,093,488,656
  5. Step 5: Solve for x
    x = 14,093,488,656/77,848
  6. Step 6: Final answer
    x = 181,038.55

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Why These Related Problems?

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