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Finding the Third Proportional to 125,139 and 184,389

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Solution

The third proportional to 125,139 and 184,389 is: 271,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,139 : 184,389 = 184,389 : x
  2. Step 2: Convert to fraction form
    125,139/184,389 = 184,389/x
  3. Step 3: Cross multiply
    125,139x = 184,389 × 184,389
  4. Step 4: Simplify right side
    125,139x = 33,999,303,321
  5. Step 5: Solve for x
    x = 33,999,303,321/125,139
  6. Step 6: Final answer
    x = 271,692.30

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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.