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Finding the Third Proportional to 117,558 and 171,304

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Solution

The third proportional to 117,558 and 171,304 is: 249,621.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,558 : 171,304 = 171,304 : x
  2. Step 2: Convert to fraction form
    117,558/171,304 = 171,304/x
  3. Step 3: Cross multiply
    117,558x = 171,304 × 171,304
  4. Step 4: Simplify right side
    117,558x = 29,345,060,416
  5. Step 5: Solve for x
    x = 29,345,060,416/117,558
  6. Step 6: Final answer
    x = 249,621.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.