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Finding the Third Proportional to 77,442 and 113,894

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Solution

The third proportional to 77,442 and 113,894 is: 167,503.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,442 : 113,894 = 113,894 : x
  2. Step 2: Convert to fraction form
    77,442/113,894 = 113,894/x
  3. Step 3: Cross multiply
    77,442x = 113,894 × 113,894
  4. Step 4: Simplify right side
    77,442x = 12,971,843,236
  5. Step 5: Solve for x
    x = 12,971,843,236/77,442
  6. Step 6: Final answer
    x = 167,503.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.