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Finding the Third Proportional to 126,053 and 275,706.50

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Solution

The third proportional to 126,053 and 275,706.50 is: 603,032.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,053 : 275,706.50 = 275,706.50 : x
  2. Step 2: Convert to fraction form
    126,053/275,706.50 = 275,706.50/x
  3. Step 3: Cross multiply
    126,053x = 275,706.50 × 275,706.50
  4. Step 4: Simplify right side
    126,053x = 76,014,074,142.25
  5. Step 5: Solve for x
    x = 76,014,074,142.25/126,053
  6. Step 6: Final answer
    x = 603,032.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.