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Finding the Third Proportional to 69,271 and 148,018

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Solution

The third proportional to 69,271 and 148,018 is: 316,284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,271 : 148,018 = 148,018 : x
  2. Step 2: Convert to fraction form
    69,271/148,018 = 148,018/x
  3. Step 3: Cross multiply
    69,271x = 148,018 × 148,018
  4. Step 4: Simplify right side
    69,271x = 21,909,328,324
  5. Step 5: Solve for x
    x = 21,909,328,324/69,271
  6. Step 6: Final answer
    x = 316,284.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.