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Finding the Third Proportional to 75,955 and 163,403

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Solution

The third proportional to 75,955 and 163,403 is: 351,531.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,955 : 163,403 = 163,403 : x
  2. Step 2: Convert to fraction form
    75,955/163,403 = 163,403/x
  3. Step 3: Cross multiply
    75,955x = 163,403 × 163,403
  4. Step 4: Simplify right side
    75,955x = 26,700,540,409
  5. Step 5: Solve for x
    x = 26,700,540,409/75,955
  6. Step 6: Final answer
    x = 351,531.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.