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Finding the Third Proportional to 128,050 and 184,461

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Solution

The third proportional to 128,050 and 184,461 is: 265,723.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,050 : 184,461 = 184,461 : x
  2. Step 2: Convert to fraction form
    128,050/184,461 = 184,461/x
  3. Step 3: Cross multiply
    128,050x = 184,461 × 184,461
  4. Step 4: Simplify right side
    128,050x = 34,025,860,521
  5. Step 5: Solve for x
    x = 34,025,860,521/128,050
  6. Step 6: Final answer
    x = 265,723.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.