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Finding the Third Proportional to 53,823 and 77,043

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Solution

The third proportional to 53,823 and 77,043 is: 110,280.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,823 : 77,043 = 77,043 : x
  2. Step 2: Convert to fraction form
    53,823/77,043 = 77,043/x
  3. Step 3: Cross multiply
    53,823x = 77,043 × 77,043
  4. Step 4: Simplify right side
    53,823x = 5,935,623,849
  5. Step 5: Solve for x
    x = 5,935,623,849/53,823
  6. Step 6: Final answer
    x = 110,280.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.