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Finding the Third Proportional to 109,374 and 171,348

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Solution

The third proportional to 109,374 and 171,348 is: 268,437.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,374 : 171,348 = 171,348 : x
  2. Step 2: Convert to fraction form
    109,374/171,348 = 171,348/x
  3. Step 3: Cross multiply
    109,374x = 171,348 × 171,348
  4. Step 4: Simplify right side
    109,374x = 29,360,137,104
  5. Step 5: Solve for x
    x = 29,360,137,104/109,374
  6. Step 6: Final answer
    x = 268,437.99

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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.