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Finding the Third Proportional to 103,295.63 and 159,614.25

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Solution

The third proportional to 103,295.63 and 159,614.25 is: 246,638.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,295.63 : 159,614.25 = 159,614.25 : x
  2. Step 2: Convert to fraction form
    103,295.63/159,614.25 = 159,614.25/x
  3. Step 3: Cross multiply
    103,295.63x = 159,614.25 × 159,614.25
  4. Step 4: Simplify right side
    103,295.63x = 25,476,708,803.06
  5. Step 5: Solve for x
    x = 25,476,708,803.06/103,295.63
  6. Step 6: Final answer
    x = 246,638.80

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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.