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Finding the Third Proportional to 66,703.50 and 147,409.88

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Solution

The third proportional to 66,703.50 and 147,409.88 is: 325,765.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,703.50 : 147,409.88 = 147,409.88 : x
  2. Step 2: Convert to fraction form
    66,703.50/147,409.88 = 147,409.88/x
  3. Step 3: Cross multiply
    66,703.50x = 147,409.88 × 147,409.88
  4. Step 4: Simplify right side
    66,703.50x = 21,729,671,247.52
  5. Step 5: Solve for x
    x = 21,729,671,247.52/66,703.50
  6. Step 6: Final answer
    x = 325,765.08

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.