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Finding the Third Proportional to 63,109.27 and 135,085.36

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Solution

The third proportional to 63,109.27 and 135,085.36 is: 289,150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,109.27 : 135,085.36 = 135,085.36 : x
  2. Step 2: Convert to fraction form
    63,109.27/135,085.36 = 135,085.36/x
  3. Step 3: Cross multiply
    63,109.27x = 135,085.36 × 135,085.36
  4. Step 4: Simplify right side
    63,109.27x = 18,248,054,317.47
  5. Step 5: Solve for x
    x = 18,248,054,317.47/63,109.27
  6. Step 6: Final answer
    x = 289,150.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.