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Finding the Third Proportional to 104,620.50 and 152,068.50

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Solution

The third proportional to 104,620.50 and 152,068.50 is: 221,035.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,620.50 : 152,068.50 = 152,068.50 : x
  2. Step 2: Convert to fraction form
    104,620.50/152,068.50 = 152,068.50/x
  3. Step 3: Cross multiply
    104,620.50x = 152,068.50 × 152,068.50
  4. Step 4: Simplify right side
    104,620.50x = 23,124,828,692.25
  5. Step 5: Solve for x
    x = 23,124,828,692.25/104,620.50
  6. Step 6: Final answer
    x = 221,035.35

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.