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Finding the Third Proportional to 62,232.75 and 92,943

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Solution

The third proportional to 62,232.75 and 92,943 is: 138,807.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,232.75 : 92,943 = 92,943 : x
  2. Step 2: Convert to fraction form
    62,232.75/92,943 = 92,943/x
  3. Step 3: Cross multiply
    62,232.75x = 92,943 × 92,943
  4. Step 4: Simplify right side
    62,232.75x = 8,638,401,249
  5. Step 5: Solve for x
    x = 8,638,401,249/62,232.75
  6. Step 6: Final answer
    x = 138,807.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.