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Finding the Third Proportional to 59,095.50 and 136,668

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Solution

The third proportional to 59,095.50 and 136,668 is: 316,067.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,095.50 : 136,668 = 136,668 : x
  2. Step 2: Convert to fraction form
    59,095.50/136,668 = 136,668/x
  3. Step 3: Cross multiply
    59,095.50x = 136,668 × 136,668
  4. Step 4: Simplify right side
    59,095.50x = 18,678,142,224
  5. Step 5: Solve for x
    x = 18,678,142,224/59,095.50
  6. Step 6: Final answer
    x = 316,067.08

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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.