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Finding the Third Proportional to 72,480.38 and 147,000.38

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Solution

The third proportional to 72,480.38 and 147,000.38 is: 298,137.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,480.38 : 147,000.38 = 147,000.38 : x
  2. Step 2: Convert to fraction form
    72,480.38/147,000.38 = 147,000.38/x
  3. Step 3: Cross multiply
    72,480.38x = 147,000.38 × 147,000.38
  4. Step 4: Simplify right side
    72,480.38x = 21,609,110,250.14
  5. Step 5: Solve for x
    x = 21,609,110,250.14/72,480.38
  6. Step 6: Final answer
    x = 298,137.40

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.