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Finding the Third Proportional to 127,219.50 and 172,773

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Solution

The third proportional to 127,219.50 and 172,773 is: 234,637.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,219.50 : 172,773 = 172,773 : x
  2. Step 2: Convert to fraction form
    127,219.50/172,773 = 172,773/x
  3. Step 3: Cross multiply
    127,219.50x = 172,773 × 172,773
  4. Step 4: Simplify right side
    127,219.50x = 29,850,509,529
  5. Step 5: Solve for x
    x = 29,850,509,529/127,219.50
  6. Step 6: Final answer
    x = 234,637.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.