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Finding the Third Proportional to 65,326.25 and 143,101

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Solution

The third proportional to 65,326.25 and 143,101 is: 313,471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,326.25 : 143,101 = 143,101 : x
  2. Step 2: Convert to fraction form
    65,326.25/143,101 = 143,101/x
  3. Step 3: Cross multiply
    65,326.25x = 143,101 × 143,101
  4. Step 4: Simplify right side
    65,326.25x = 20,477,896,201
  5. Step 5: Solve for x
    x = 20,477,896,201/65,326.25
  6. Step 6: Final answer
    x = 313,471.17

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Why These Related Problems?

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