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Finding the Third Proportional to 75,308.25 and 163,014.25

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Solution

The third proportional to 75,308.25 and 163,014.25 is: 352,865.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,308.25 : 163,014.25 = 163,014.25 : x
  2. Step 2: Convert to fraction form
    75,308.25/163,014.25 = 163,014.25/x
  3. Step 3: Cross multiply
    75,308.25x = 163,014.25 × 163,014.25
  4. Step 4: Simplify right side
    75,308.25x = 26,573,645,703.06
  5. Step 5: Solve for x
    x = 26,573,645,703.06/75,308.25
  6. Step 6: Final answer
    x = 352,865.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.