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Finding the Third Proportional to 127,216 and 202,062

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Solution

The third proportional to 127,216 and 202,062 is: 320,942.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,216 : 202,062 = 202,062 : x
  2. Step 2: Convert to fraction form
    127,216/202,062 = 202,062/x
  3. Step 3: Cross multiply
    127,216x = 202,062 × 202,062
  4. Step 4: Simplify right side
    127,216x = 40,829,051,844
  5. Step 5: Solve for x
    x = 40,829,051,844/127,216
  6. Step 6: Final answer
    x = 320,942.74

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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.