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Finding the Third Proportional to 102,740 and 163,018

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Solution

The third proportional to 102,740 and 163,018 is: 258,661.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,740 : 163,018 = 163,018 : x
  2. Step 2: Convert to fraction form
    102,740/163,018 = 163,018/x
  3. Step 3: Cross multiply
    102,740x = 163,018 × 163,018
  4. Step 4: Simplify right side
    102,740x = 26,574,868,324
  5. Step 5: Solve for x
    x = 26,574,868,324/102,740
  6. Step 6: Final answer
    x = 258,661.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.