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Finding the Third Proportional to 39,232 and 92,602

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Solution

The third proportional to 39,232 and 92,602 is: 218,574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,232 : 92,602 = 92,602 : x
  2. Step 2: Convert to fraction form
    39,232/92,602 = 92,602/x
  3. Step 3: Cross multiply
    39,232x = 92,602 × 92,602
  4. Step 4: Simplify right side
    39,232x = 8,575,130,404
  5. Step 5: Solve for x
    x = 8,575,130,404/39,232
  6. Step 6: Final answer
    x = 218,574.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.