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Finding the Third Proportional to 74,054 and 114,701

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Solution

The third proportional to 74,054 and 114,701 is: 177,658.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,054 : 114,701 = 114,701 : x
  2. Step 2: Convert to fraction form
    74,054/114,701 = 114,701/x
  3. Step 3: Cross multiply
    74,054x = 114,701 × 114,701
  4. Step 4: Simplify right side
    74,054x = 13,156,319,401
  5. Step 5: Solve for x
    x = 13,156,319,401/74,054
  6. Step 6: Final answer
    x = 177,658.46

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Why These Related Problems?

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