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Finding the Third Proportional to 103,468 and 165,316

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Solution

The third proportional to 103,468 and 165,316 is: 264,133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,468 : 165,316 = 165,316 : x
  2. Step 2: Convert to fraction form
    103,468/165,316 = 165,316/x
  3. Step 3: Cross multiply
    103,468x = 165,316 × 165,316
  4. Step 4: Simplify right side
    103,468x = 27,329,379,856
  5. Step 5: Solve for x
    x = 27,329,379,856/103,468
  6. Step 6: Final answer
    x = 264,133.64

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.