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Finding the Third Proportional to 119,154 and 185,763

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Solution

The third proportional to 119,154 and 185,763 is: 289,607.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,154 : 185,763 = 185,763 : x
  2. Step 2: Convert to fraction form
    119,154/185,763 = 185,763/x
  3. Step 3: Cross multiply
    119,154x = 185,763 × 185,763
  4. Step 4: Simplify right side
    119,154x = 34,507,892,169
  5. Step 5: Solve for x
    x = 34,507,892,169/119,154
  6. Step 6: Final answer
    x = 289,607.50

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.