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Finding the Third Proportional to 73,148 and 109,316

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Solution

The third proportional to 73,148 and 109,316 is: 163,367.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,148 : 109,316 = 109,316 : x
  2. Step 2: Convert to fraction form
    73,148/109,316 = 109,316/x
  3. Step 3: Cross multiply
    73,148x = 109,316 × 109,316
  4. Step 4: Simplify right side
    73,148x = 11,949,987,856
  5. Step 5: Solve for x
    x = 11,949,987,856/73,148
  6. Step 6: Final answer
    x = 163,367.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.