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Finding the Third Proportional to 75,451.50 and 163,903.50

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Solution

The third proportional to 75,451.50 and 163,903.50 is: 356,048.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,451.50 : 163,903.50 = 163,903.50 : x
  2. Step 2: Convert to fraction form
    75,451.50/163,903.50 = 163,903.50/x
  3. Step 3: Cross multiply
    75,451.50x = 163,903.50 × 163,903.50
  4. Step 4: Simplify right side
    75,451.50x = 26,864,357,312.25
  5. Step 5: Solve for x
    x = 26,864,357,312.25/75,451.50
  6. Step 6: Final answer
    x = 356,048.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.