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Finding the Third Proportional to 112,852 and 175,304

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Solution

The third proportional to 112,852 and 175,304 is: 272,316.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,852 : 175,304 = 175,304 : x
  2. Step 2: Convert to fraction form
    112,852/175,304 = 175,304/x
  3. Step 3: Cross multiply
    112,852x = 175,304 × 175,304
  4. Step 4: Simplify right side
    112,852x = 30,731,492,416
  5. Step 5: Solve for x
    x = 30,731,492,416/112,852
  6. Step 6: Final answer
    x = 272,316.77

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