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Finding the Third Proportional to 132,412 and 205,158

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Solution

The third proportional to 132,412 and 205,158 is: 317,870.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,412 : 205,158 = 205,158 : x
  2. Step 2: Convert to fraction form
    132,412/205,158 = 205,158/x
  3. Step 3: Cross multiply
    132,412x = 205,158 × 205,158
  4. Step 4: Simplify right side
    132,412x = 42,089,804,964
  5. Step 5: Solve for x
    x = 42,089,804,964/132,412
  6. Step 6: Final answer
    x = 317,870.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.