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Finding the Third Proportional to 72,478.55 and 146,996.02

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Solution

The third proportional to 72,478.55 and 146,996.02 is: 298,127.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,478.55 : 146,996.02 = 146,996.02 : x
  2. Step 2: Convert to fraction form
    72,478.55/146,996.02 = 146,996.02/x
  3. Step 3: Cross multiply
    72,478.55x = 146,996.02 × 146,996.02
  4. Step 4: Simplify right side
    72,478.55x = 21,607,828,609.63
  5. Step 5: Solve for x
    x = 21,607,828,609.63/72,478.55
  6. Step 6: Final answer
    x = 298,127.23

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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.