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Finding the Third Proportional to 40,232 and 88,346

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Solution

The third proportional to 40,232 and 88,346 is: 194,000.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,232 : 88,346 = 88,346 : x
  2. Step 2: Convert to fraction form
    40,232/88,346 = 88,346/x
  3. Step 3: Cross multiply
    40,232x = 88,346 × 88,346
  4. Step 4: Simplify right side
    40,232x = 7,805,015,716
  5. Step 5: Solve for x
    x = 7,805,015,716/40,232
  6. Step 6: Final answer
    x = 194,000.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.