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Finding the Third Proportional to 79,825 and 133,036.50

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Solution

The third proportional to 79,825 and 133,036.50 is: 221,718.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,825 : 133,036.50 = 133,036.50 : x
  2. Step 2: Convert to fraction form
    79,825/133,036.50 = 133,036.50/x
  3. Step 3: Cross multiply
    79,825x = 133,036.50 × 133,036.50
  4. Step 4: Simplify right side
    79,825x = 17,698,710,332.25
  5. Step 5: Solve for x
    x = 17,698,710,332.25/79,825
  6. Step 6: Final answer
    x = 221,718.89

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.