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Finding the Third Proportional to 137,678.48 and 183,742.17

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Solution

The third proportional to 137,678.48 and 183,742.17 is: 245,217.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,678.48 : 183,742.17 = 183,742.17 : x
  2. Step 2: Convert to fraction form
    137,678.48/183,742.17 = 183,742.17/x
  3. Step 3: Cross multiply
    137,678.48x = 183,742.17 × 183,742.17
  4. Step 4: Simplify right side
    137,678.48x = 33,761,185,725.34
  5. Step 5: Solve for x
    x = 33,761,185,725.34/137,678.48
  6. Step 6: Final answer
    x = 245,217.59

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.