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Finding the Third Proportional to 78,878 and 172,312

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Solution

The third proportional to 78,878 and 172,312 is: 376,422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,878 : 172,312 = 172,312 : x
  2. Step 2: Convert to fraction form
    78,878/172,312 = 172,312/x
  3. Step 3: Cross multiply
    78,878x = 172,312 × 172,312
  4. Step 4: Simplify right side
    78,878x = 29,691,425,344
  5. Step 5: Solve for x
    x = 29,691,425,344/78,878
  6. Step 6: Final answer
    x = 376,422.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.