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Finding the Third Proportional to 49,253.63 and 78,003.84

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Solution

The third proportional to 49,253.63 and 78,003.84 is: 123,536.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,253.63 : 78,003.84 = 78,003.84 : x
  2. Step 2: Convert to fraction form
    49,253.63/78,003.84 = 78,003.84/x
  3. Step 3: Cross multiply
    49,253.63x = 78,003.84 × 78,003.84
  4. Step 4: Simplify right side
    49,253.63x = 6,084,599,639.77
  5. Step 5: Solve for x
    x = 6,084,599,639.77/49,253.63
  6. Step 6: Final answer
    x = 123,536.08

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.