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Finding the Third Proportional to 104,081.63 and 148,727.81

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Solution

The third proportional to 104,081.63 and 148,727.81 is: 212,525.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,081.63 : 148,727.81 = 148,727.81 : x
  2. Step 2: Convert to fraction form
    104,081.63/148,727.81 = 148,727.81/x
  3. Step 3: Cross multiply
    104,081.63x = 148,727.81 × 148,727.81
  4. Step 4: Simplify right side
    104,081.63x = 22,119,962,211.04
  5. Step 5: Solve for x
    x = 22,119,962,211.04/104,081.63
  6. Step 6: Final answer
    x = 212,525.14

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.