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Finding the Third Proportional to 103,210.31 and 159,485.06

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Solution

The third proportional to 103,210.31 and 159,485.06 is: 246,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,210.31 : 159,485.06 = 159,485.06 : x
  2. Step 2: Convert to fraction form
    103,210.31/159,485.06 = 159,485.06/x
  3. Step 3: Cross multiply
    103,210.31x = 159,485.06 × 159,485.06
  4. Step 4: Simplify right side
    103,210.31x = 25,435,485,160.63
  5. Step 5: Solve for x
    x = 25,435,485,160.63/103,210.31
  6. Step 6: Final answer
    x = 246,443.25

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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.