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Finding the Third Proportional to 88,058 and 136,407

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Solution

The third proportional to 88,058 and 136,407 is: 211,302.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,058 : 136,407 = 136,407 : x
  2. Step 2: Convert to fraction form
    88,058/136,407 = 136,407/x
  3. Step 3: Cross multiply
    88,058x = 136,407 × 136,407
  4. Step 4: Simplify right side
    88,058x = 18,606,869,649
  5. Step 5: Solve for x
    x = 18,606,869,649/88,058
  6. Step 6: Final answer
    x = 211,302.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.