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Finding the Third Proportional to 109,656.50 and 164,041.75

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Solution

The third proportional to 109,656.50 and 164,041.75 is: 245,399.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,656.50 : 164,041.75 = 164,041.75 : x
  2. Step 2: Convert to fraction form
    109,656.50/164,041.75 = 164,041.75/x
  3. Step 3: Cross multiply
    109,656.50x = 164,041.75 × 164,041.75
  4. Step 4: Simplify right side
    109,656.50x = 26,909,695,743.06
  5. Step 5: Solve for x
    x = 26,909,695,743.06/109,656.50
  6. Step 6: Final answer
    x = 245,399.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.