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Finding the Third Proportional to 104,148 and 157,681

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Solution

The third proportional to 104,148 and 157,681 is: 238,730.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,148 : 157,681 = 157,681 : x
  2. Step 2: Convert to fraction form
    104,148/157,681 = 157,681/x
  3. Step 3: Cross multiply
    104,148x = 157,681 × 157,681
  4. Step 4: Simplify right side
    104,148x = 24,863,297,761
  5. Step 5: Solve for x
    x = 24,863,297,761/104,148
  6. Step 6: Final answer
    x = 238,730.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.