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Finding the Third Proportional to 35,229 and 78,053

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Solution

The third proportional to 35,229 and 78,053 is: 172,933.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,229 : 78,053 = 78,053 : x
  2. Step 2: Convert to fraction form
    35,229/78,053 = 78,053/x
  3. Step 3: Cross multiply
    35,229x = 78,053 × 78,053
  4. Step 4: Simplify right side
    35,229x = 6,092,270,809
  5. Step 5: Solve for x
    x = 6,092,270,809/35,229
  6. Step 6: Final answer
    x = 172,933.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.