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Finding the Third Proportional to 104,026.50 and 152,336.25

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Solution

The third proportional to 104,026.50 and 152,336.25 is: 223,080.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,026.50 : 152,336.25 = 152,336.25 : x
  2. Step 2: Convert to fraction form
    104,026.50/152,336.25 = 152,336.25/x
  3. Step 3: Cross multiply
    104,026.50x = 152,336.25 × 152,336.25
  4. Step 4: Simplify right side
    104,026.50x = 23,206,333,064.06
  5. Step 5: Solve for x
    x = 23,206,333,064.06/104,026.50
  6. Step 6: Final answer
    x = 223,080.98

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.