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Finding the Third Proportional to 72,412.75 and 151,446.25

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Solution

The third proportional to 72,412.75 and 151,446.25 is: 316,739.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,412.75 : 151,446.25 = 151,446.25 : x
  2. Step 2: Convert to fraction form
    72,412.75/151,446.25 = 151,446.25/x
  3. Step 3: Cross multiply
    72,412.75x = 151,446.25 × 151,446.25
  4. Step 4: Simplify right side
    72,412.75x = 22,935,966,639.06
  5. Step 5: Solve for x
    x = 22,935,966,639.06/72,412.75
  6. Step 6: Final answer
    x = 316,739.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.