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Finding the Third Proportional to 112,894 and 174,900

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Solution

The third proportional to 112,894 and 174,900 is: 270,962.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,894 : 174,900 = 174,900 : x
  2. Step 2: Convert to fraction form
    112,894/174,900 = 174,900/x
  3. Step 3: Cross multiply
    112,894x = 174,900 × 174,900
  4. Step 4: Simplify right side
    112,894x = 30,590,010,000
  5. Step 5: Solve for x
    x = 30,590,010,000/112,894
  6. Step 6: Final answer
    x = 270,962.23

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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.