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Finding the Third Proportional to 73,680 and 113,316

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Solution

The third proportional to 73,680 and 113,316 is: 174,274.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,680 : 113,316 = 113,316 : x
  2. Step 2: Convert to fraction form
    73,680/113,316 = 113,316/x
  3. Step 3: Cross multiply
    73,680x = 113,316 × 113,316
  4. Step 4: Simplify right side
    73,680x = 12,840,515,856
  5. Step 5: Solve for x
    x = 12,840,515,856/73,680
  6. Step 6: Final answer
    x = 174,274.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.