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Finding the Third Proportional to 127,422 and 202,432.50

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Solution

The third proportional to 127,422 and 202,432.50 is: 321,600.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,422 : 202,432.50 = 202,432.50 : x
  2. Step 2: Convert to fraction form
    127,422/202,432.50 = 202,432.50/x
  3. Step 3: Cross multiply
    127,422x = 202,432.50 × 202,432.50
  4. Step 4: Simplify right side
    127,422x = 40,978,917,056.25
  5. Step 5: Solve for x
    x = 40,978,917,056.25/127,422
  6. Step 6: Final answer
    x = 321,600.01

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.