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Finding the Third Proportional to 103,059 and 162,891

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Solution

The third proportional to 103,059 and 162,891 is: 257,459.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,059 : 162,891 = 162,891 : x
  2. Step 2: Convert to fraction form
    103,059/162,891 = 162,891/x
  3. Step 3: Cross multiply
    103,059x = 162,891 × 162,891
  4. Step 4: Simplify right side
    103,059x = 26,533,477,881
  5. Step 5: Solve for x
    x = 26,533,477,881/103,059
  6. Step 6: Final answer
    x = 257,459.10

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.