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Finding the Third Proportional to 101,018 and 151,527

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Solution

The third proportional to 101,018 and 151,527 is: 227,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,018 : 151,527 = 151,527 : x
  2. Step 2: Convert to fraction form
    101,018/151,527 = 151,527/x
  3. Step 3: Cross multiply
    101,018x = 151,527 × 151,527
  4. Step 4: Simplify right side
    101,018x = 22,960,431,729
  5. Step 5: Solve for x
    x = 22,960,431,729/101,018
  6. Step 6: Final answer
    x = 227,290.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.