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Finding the Third Proportional to 76,403.25 and 162,661.50

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Solution

The third proportional to 76,403.25 and 162,661.50 is: 346,304.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,403.25 : 162,661.50 = 162,661.50 : x
  2. Step 2: Convert to fraction form
    76,403.25/162,661.50 = 162,661.50/x
  3. Step 3: Cross multiply
    76,403.25x = 162,661.50 × 162,661.50
  4. Step 4: Simplify right side
    76,403.25x = 26,458,763,582.25
  5. Step 5: Solve for x
    x = 26,458,763,582.25/76,403.25
  6. Step 6: Final answer
    x = 346,304.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.