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Finding the Third Proportional to 101,714.50 and 147,954.50

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Solution

The third proportional to 101,714.50 and 147,954.50 is: 215,215.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,714.50 : 147,954.50 = 147,954.50 : x
  2. Step 2: Convert to fraction form
    101,714.50/147,954.50 = 147,954.50/x
  3. Step 3: Cross multiply
    101,714.50x = 147,954.50 × 147,954.50
  4. Step 4: Simplify right side
    101,714.50x = 21,890,534,070.25
  5. Step 5: Solve for x
    x = 21,890,534,070.25/101,714.50
  6. Step 6: Final answer
    x = 215,215.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.