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Finding the Third Proportional to 109,968 and 237,312

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Solution

The third proportional to 109,968 and 237,312 is: 512,121.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,968 : 237,312 = 237,312 : x
  2. Step 2: Convert to fraction form
    109,968/237,312 = 237,312/x
  3. Step 3: Cross multiply
    109,968x = 237,312 × 237,312
  4. Step 4: Simplify right side
    109,968x = 56,316,985,344
  5. Step 5: Solve for x
    x = 56,316,985,344/109,968
  6. Step 6: Final answer
    x = 512,121.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.