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Finding the Third Proportional to 58,613.75 and 137,051.75

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Solution

The third proportional to 58,613.75 and 137,051.75 is: 320,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,613.75 : 137,051.75 = 137,051.75 : x
  2. Step 2: Convert to fraction form
    58,613.75/137,051.75 = 137,051.75/x
  3. Step 3: Cross multiply
    58,613.75x = 137,051.75 × 137,051.75
  4. Step 4: Simplify right side
    58,613.75x = 18,783,182,178.06
  5. Step 5: Solve for x
    x = 18,783,182,178.06/58,613.75
  6. Step 6: Final answer
    x = 320,456.93

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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.