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Finding the Third Proportional to 94,235.63 and 145,729.69

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Solution

The third proportional to 94,235.63 and 145,729.69 is: 225,362.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,235.63 : 145,729.69 = 145,729.69 : x
  2. Step 2: Convert to fraction form
    94,235.63/145,729.69 = 145,729.69/x
  3. Step 3: Cross multiply
    94,235.63x = 145,729.69 × 145,729.69
  4. Step 4: Simplify right side
    94,235.63x = 21,237,141,818.85
  5. Step 5: Solve for x
    x = 21,237,141,818.85/94,235.63
  6. Step 6: Final answer
    x = 225,362.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.