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Finding the Third Proportional to 103,434 and 162,527

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Solution

The third proportional to 103,434 and 162,527 is: 255,380.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,434 : 162,527 = 162,527 : x
  2. Step 2: Convert to fraction form
    103,434/162,527 = 162,527/x
  3. Step 3: Cross multiply
    103,434x = 162,527 × 162,527
  4. Step 4: Simplify right side
    103,434x = 26,415,025,729
  5. Step 5: Solve for x
    x = 26,415,025,729/103,434
  6. Step 6: Final answer
    x = 255,380.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.