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Finding the Third Proportional to 70,582.50 and 103,713.75

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Solution

The third proportional to 70,582.50 and 103,713.75 is: 152,396.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,582.50 : 103,713.75 = 103,713.75 : x
  2. Step 2: Convert to fraction form
    70,582.50/103,713.75 = 103,713.75/x
  3. Step 3: Cross multiply
    70,582.50x = 103,713.75 × 103,713.75
  4. Step 4: Simplify right side
    70,582.50x = 10,756,541,939.06
  5. Step 5: Solve for x
    x = 10,756,541,939.06/70,582.50
  6. Step 6: Final answer
    x = 152,396.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.