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Finding the Third Proportional to 72,000.14 and 148,596.40

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Solution

The third proportional to 72,000.14 and 148,596.40 is: 306,678.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,000.14 : 148,596.40 = 148,596.40 : x
  2. Step 2: Convert to fraction form
    72,000.14/148,596.40 = 148,596.40/x
  3. Step 3: Cross multiply
    72,000.14x = 148,596.40 × 148,596.40
  4. Step 4: Simplify right side
    72,000.14x = 22,080,889,628.60
  5. Step 5: Solve for x
    x = 22,080,889,628.60/72,000.14
  6. Step 6: Final answer
    x = 306,678.42

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.