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Finding the Third Proportional to 63,053 and 138,391

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Solution

The third proportional to 63,053 and 138,391 is: 303,745.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,053 : 138,391 = 138,391 : x
  2. Step 2: Convert to fraction form
    63,053/138,391 = 138,391/x
  3. Step 3: Cross multiply
    63,053x = 138,391 × 138,391
  4. Step 4: Simplify right side
    63,053x = 19,152,068,881
  5. Step 5: Solve for x
    x = 19,152,068,881/63,053
  6. Step 6: Final answer
    x = 303,745.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.