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Finding the Third Proportional to 64,587.38 and 136,994.63

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Solution

The third proportional to 64,587.38 and 136,994.63 is: 290,575.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,587.38 : 136,994.63 = 136,994.63 : x
  2. Step 2: Convert to fraction form
    64,587.38/136,994.63 = 136,994.63/x
  3. Step 3: Cross multiply
    64,587.38x = 136,994.63 × 136,994.63
  4. Step 4: Simplify right side
    64,587.38x = 18,767,527,278.89
  5. Step 5: Solve for x
    x = 18,767,527,278.89/64,587.38
  6. Step 6: Final answer
    x = 290,575.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.