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Finding the Third Proportional to 102,216 and 158,472

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Solution

The third proportional to 102,216 and 158,472 is: 245,689.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,216 : 158,472 = 158,472 : x
  2. Step 2: Convert to fraction form
    102,216/158,472 = 158,472/x
  3. Step 3: Cross multiply
    102,216x = 158,472 × 158,472
  4. Step 4: Simplify right side
    102,216x = 25,113,374,784
  5. Step 5: Solve for x
    x = 25,113,374,784/102,216
  6. Step 6: Final answer
    x = 245,689.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.