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Finding the Third Proportional to 58,232 and 136,886

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Solution

The third proportional to 58,232 and 136,886 is: 321,778.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,232 : 136,886 = 136,886 : x
  2. Step 2: Convert to fraction form
    58,232/136,886 = 136,886/x
  3. Step 3: Cross multiply
    58,232x = 136,886 × 136,886
  4. Step 4: Simplify right side
    58,232x = 18,737,776,996
  5. Step 5: Solve for x
    x = 18,737,776,996/58,232
  6. Step 6: Final answer
    x = 321,778.01

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.