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Finding the Third Proportional to 81,804.94 and 120,014.16

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Solution

The third proportional to 81,804.94 and 120,014.16 is: 176,070.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,804.94 : 120,014.16 = 120,014.16 : x
  2. Step 2: Convert to fraction form
    81,804.94/120,014.16 = 120,014.16/x
  3. Step 3: Cross multiply
    81,804.94x = 120,014.16 × 120,014.16
  4. Step 4: Simplify right side
    81,804.94x = 14,403,397,700.40
  5. Step 5: Solve for x
    x = 14,403,397,700.40/81,804.94
  6. Step 6: Final answer
    x = 176,070.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.