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Finding the Third Proportional to 75,310 and 163,018

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Solution

The third proportional to 75,310 and 163,018 is: 352,873.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,310 : 163,018 = 163,018 : x
  2. Step 2: Convert to fraction form
    75,310/163,018 = 163,018/x
  3. Step 3: Cross multiply
    75,310x = 163,018 × 163,018
  4. Step 4: Simplify right side
    75,310x = 26,574,868,324
  5. Step 5: Solve for x
    x = 26,574,868,324/75,310
  6. Step 6: Final answer
    x = 352,873.04

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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.