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Finding the Third Proportional to 119,073 and 254,515.50

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Solution

The third proportional to 119,073 and 254,515.50 is: 544,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,073 : 254,515.50 = 254,515.50 : x
  2. Step 2: Convert to fraction form
    119,073/254,515.50 = 254,515.50/x
  3. Step 3: Cross multiply
    119,073x = 254,515.50 × 254,515.50
  4. Step 4: Simplify right side
    119,073x = 64,778,139,740.25
  5. Step 5: Solve for x
    x = 64,778,139,740.25/119,073
  6. Step 6: Final answer
    x = 544,020.39

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.