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Finding the Third Proportional to 48,894 and 76,263

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Solution

The third proportional to 48,894 and 76,263 is: 118,952.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,894 : 76,263 = 76,263 : x
  2. Step 2: Convert to fraction form
    48,894/76,263 = 76,263/x
  3. Step 3: Cross multiply
    48,894x = 76,263 × 76,263
  4. Step 4: Simplify right side
    48,894x = 5,816,045,169
  5. Step 5: Solve for x
    x = 5,816,045,169/48,894
  6. Step 6: Final answer
    x = 118,952.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.