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Finding the Third Proportional to 53,865 and 92,623.50

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Solution

The third proportional to 53,865 and 92,623.50 is: 159,270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,865 : 92,623.50 = 92,623.50 : x
  2. Step 2: Convert to fraction form
    53,865/92,623.50 = 92,623.50/x
  3. Step 3: Cross multiply
    53,865x = 92,623.50 × 92,623.50
  4. Step 4: Simplify right side
    53,865x = 8,579,112,752.25
  5. Step 5: Solve for x
    x = 8,579,112,752.25/53,865
  6. Step 6: Final answer
    x = 159,270.63

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.