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Finding the Third Proportional to 127,633.50 and 272,643

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Solution

The third proportional to 127,633.50 and 272,643 is: 582,403.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,633.50 : 272,643 = 272,643 : x
  2. Step 2: Convert to fraction form
    127,633.50/272,643 = 272,643/x
  3. Step 3: Cross multiply
    127,633.50x = 272,643 × 272,643
  4. Step 4: Simplify right side
    127,633.50x = 74,334,205,449
  5. Step 5: Solve for x
    x = 74,334,205,449/127,633.50
  6. Step 6: Final answer
    x = 582,403.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.