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Finding the Third Proportional to 60,784 and 93,302

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Solution

The third proportional to 60,784 and 93,302 is: 143,216.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,784 : 93,302 = 93,302 : x
  2. Step 2: Convert to fraction form
    60,784/93,302 = 93,302/x
  3. Step 3: Cross multiply
    60,784x = 93,302 × 93,302
  4. Step 4: Simplify right side
    60,784x = 8,705,263,204
  5. Step 5: Solve for x
    x = 8,705,263,204/60,784
  6. Step 6: Final answer
    x = 143,216.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.