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Finding the Third Proportional to 119,054.81 and 178,567.03

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Solution

The third proportional to 119,054.81 and 178,567.03 is: 267,827.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,054.81 : 178,567.03 = 178,567.03 : x
  2. Step 2: Convert to fraction form
    119,054.81/178,567.03 = 178,567.03/x
  3. Step 3: Cross multiply
    119,054.81x = 178,567.03 × 178,567.03
  4. Step 4: Simplify right side
    119,054.81x = 31,886,184,649.44
  5. Step 5: Solve for x
    x = 31,886,184,649.44/119,054.81
  6. Step 6: Final answer
    x = 267,827.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.