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Finding the Third Proportional to 56,392 and 75,947

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Solution

The third proportional to 56,392 and 75,947 is: 102,283.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,392 : 75,947 = 75,947 : x
  2. Step 2: Convert to fraction form
    56,392/75,947 = 75,947/x
  3. Step 3: Cross multiply
    56,392x = 75,947 × 75,947
  4. Step 4: Simplify right side
    56,392x = 5,767,946,809
  5. Step 5: Solve for x
    x = 5,767,946,809/56,392
  6. Step 6: Final answer
    x = 102,283.07

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.