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Finding the Third Proportional to 77,223.50 and 123,329.50

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Solution

The third proportional to 77,223.50 and 123,329.50 is: 196,962.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,223.50 : 123,329.50 = 123,329.50 : x
  2. Step 2: Convert to fraction form
    77,223.50/123,329.50 = 123,329.50/x
  3. Step 3: Cross multiply
    77,223.50x = 123,329.50 × 123,329.50
  4. Step 4: Simplify right side
    77,223.50x = 15,210,165,570.25
  5. Step 5: Solve for x
    x = 15,210,165,570.25/77,223.50
  6. Step 6: Final answer
    x = 196,962.91

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.