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Finding the Third Proportional to 80,433 and 118,325.81

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Solution

The third proportional to 80,433 and 118,325.81 is: 174,070.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,433 : 118,325.81 = 118,325.81 : x
  2. Step 2: Convert to fraction form
    80,433/118,325.81 = 118,325.81/x
  3. Step 3: Cross multiply
    80,433x = 118,325.81 × 118,325.81
  4. Step 4: Simplify right side
    80,433x = 14,000,997,903.79
  5. Step 5: Solve for x
    x = 14,000,997,903.79/80,433
  6. Step 6: Final answer
    x = 174,070.32

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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.