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Finding the Third Proportional to 75,463.50 and 113,384.25

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Solution

The third proportional to 75,463.50 and 113,384.25 is: 170,360.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,463.50 : 113,384.25 = 113,384.25 : x
  2. Step 2: Convert to fraction form
    75,463.50/113,384.25 = 113,384.25/x
  3. Step 3: Cross multiply
    75,463.50x = 113,384.25 × 113,384.25
  4. Step 4: Simplify right side
    75,463.50x = 12,855,988,148.06
  5. Step 5: Solve for x
    x = 12,855,988,148.06/75,463.50
  6. Step 6: Final answer
    x = 170,360.35

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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.