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Finding the Third Proportional to 59,094.84 and 136,665.42

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Solution

The third proportional to 59,094.84 and 136,665.42 is: 316,058.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,094.84 : 136,665.42 = 136,665.42 : x
  2. Step 2: Convert to fraction form
    59,094.84/136,665.42 = 136,665.42/x
  3. Step 3: Cross multiply
    59,094.84x = 136,665.42 × 136,665.42
  4. Step 4: Simplify right side
    59,094.84x = 18,677,437,536.27
  5. Step 5: Solve for x
    x = 18,677,437,536.27/59,094.84
  6. Step 6: Final answer
    x = 316,058.67

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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.