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Finding the Third Proportional to 59,139 and 136,768.50

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Solution

The third proportional to 59,139 and 136,768.50 is: 316,299.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,139 : 136,768.50 = 136,768.50 : x
  2. Step 2: Convert to fraction form
    59,139/136,768.50 = 136,768.50/x
  3. Step 3: Cross multiply
    59,139x = 136,768.50 × 136,768.50
  4. Step 4: Simplify right side
    59,139x = 18,705,622,592.25
  5. Step 5: Solve for x
    x = 18,705,622,592.25/59,139
  6. Step 6: Final answer
    x = 316,299.27

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.