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Finding the Third Proportional to 58,471.50 and 136,644

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Solution

The third proportional to 58,471.50 and 136,644 is: 319,327.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,471.50 : 136,644 = 136,644 : x
  2. Step 2: Convert to fraction form
    58,471.50/136,644 = 136,644/x
  3. Step 3: Cross multiply
    58,471.50x = 136,644 × 136,644
  4. Step 4: Simplify right side
    58,471.50x = 18,671,582,736
  5. Step 5: Solve for x
    x = 18,671,582,736/58,471.50
  6. Step 6: Final answer
    x = 319,327.92

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.