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Finding the Third Proportional to 101,127.44 and 157,019.63

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Solution

The third proportional to 101,127.44 and 157,019.63 is: 243,802.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,127.44 : 157,019.63 = 157,019.63 : x
  2. Step 2: Convert to fraction form
    101,127.44/157,019.63 = 157,019.63/x
  3. Step 3: Cross multiply
    101,127.44x = 157,019.63 × 157,019.63
  4. Step 4: Simplify right side
    101,127.44x = 24,655,162,635.14
  5. Step 5: Solve for x
    x = 24,655,162,635.14/101,127.44
  6. Step 6: Final answer
    x = 243,802.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.