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Finding the Third Proportional to 108,784.74 and 166,303.84

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Solution

The third proportional to 108,784.74 and 166,303.84 is: 254,235.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,784.74 : 166,303.84 = 166,303.84 : x
  2. Step 2: Convert to fraction form
    108,784.74/166,303.84 = 166,303.84/x
  3. Step 3: Cross multiply
    108,784.74x = 166,303.84 × 166,303.84
  4. Step 4: Simplify right side
    108,784.74x = 27,656,966,172.34
  5. Step 5: Solve for x
    x = 27,656,966,172.34/108,784.74
  6. Step 6: Final answer
    x = 254,235.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.