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Finding the Third Proportional to 106,527 and 162,388

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Solution

The third proportional to 106,527 and 162,388 is: 247,541.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,527 : 162,388 = 162,388 : x
  2. Step 2: Convert to fraction form
    106,527/162,388 = 162,388/x
  3. Step 3: Cross multiply
    106,527x = 162,388 × 162,388
  4. Step 4: Simplify right side
    106,527x = 26,369,862,544
  5. Step 5: Solve for x
    x = 26,369,862,544/106,527
  6. Step 6: Final answer
    x = 247,541.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.