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Finding the Third Proportional to 61,296 and 96,316

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Solution

The third proportional to 61,296 and 96,316 is: 151,343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,296 : 96,316 = 96,316 : x
  2. Step 2: Convert to fraction form
    61,296/96,316 = 96,316/x
  3. Step 3: Cross multiply
    61,296x = 96,316 × 96,316
  4. Step 4: Simplify right side
    61,296x = 9,276,771,856
  5. Step 5: Solve for x
    x = 9,276,771,856/61,296
  6. Step 6: Final answer
    x = 151,343.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.