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Finding the Third Proportional to 103,219.31 and 159,526.13

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Solution

The third proportional to 103,219.31 and 159,526.13 is: 246,548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,219.31 : 159,526.13 = 159,526.13 : x
  2. Step 2: Convert to fraction form
    103,219.31/159,526.13 = 159,526.13/x
  3. Step 3: Cross multiply
    103,219.31x = 159,526.13 × 159,526.13
  4. Step 4: Simplify right side
    103,219.31x = 25,448,584,557.52
  5. Step 5: Solve for x
    x = 25,448,584,557.52/103,219.31
  6. Step 6: Final answer
    x = 246,548.67

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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.