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Finding the Third Proportional to 77,780.25 and 113,268.38

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Solution

The third proportional to 77,780.25 and 113,268.38 is: 164,948.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,780.25 : 113,268.38 = 113,268.38 : x
  2. Step 2: Convert to fraction form
    77,780.25/113,268.38 = 113,268.38/x
  3. Step 3: Cross multiply
    77,780.25x = 113,268.38 × 113,268.38
  4. Step 4: Simplify right side
    77,780.25x = 12,829,724,775.14
  5. Step 5: Solve for x
    x = 12,829,724,775.14/77,780.25
  6. Step 6: Final answer
    x = 164,948.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.