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Finding the Third Proportional to 127,029 and 185,773

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Solution

The third proportional to 127,029 and 185,773 is: 271,682.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,029 : 185,773 = 185,773 : x
  2. Step 2: Convert to fraction form
    127,029/185,773 = 185,773/x
  3. Step 3: Cross multiply
    127,029x = 185,773 × 185,773
  4. Step 4: Simplify right side
    127,029x = 34,511,607,529
  5. Step 5: Solve for x
    x = 34,511,607,529/127,029
  6. Step 6: Final answer
    x = 271,682.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.