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Finding the Third Proportional to 53,196 and 82,316

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Solution

The third proportional to 53,196 and 82,316 is: 127,376.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,196 : 82,316 = 82,316 : x
  2. Step 2: Convert to fraction form
    53,196/82,316 = 82,316/x
  3. Step 3: Cross multiply
    53,196x = 82,316 × 82,316
  4. Step 4: Simplify right side
    53,196x = 6,775,923,856
  5. Step 5: Solve for x
    x = 6,775,923,856/53,196
  6. Step 6: Final answer
    x = 127,376.57

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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.