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Finding the Third Proportional to 72,482.50 and 147,003

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Solution

The third proportional to 72,482.50 and 147,003 is: 298,139.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,482.50 : 147,003 = 147,003 : x
  2. Step 2: Convert to fraction form
    72,482.50/147,003 = 147,003/x
  3. Step 3: Cross multiply
    72,482.50x = 147,003 × 147,003
  4. Step 4: Simplify right side
    72,482.50x = 21,609,882,009
  5. Step 5: Solve for x
    x = 21,609,882,009/72,482.50
  6. Step 6: Final answer
    x = 298,139.30

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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.