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Finding the Third Proportional to 40,259 and 88,486

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Solution

The third proportional to 40,259 and 88,486 is: 194,485.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,259 : 88,486 = 88,486 : x
  2. Step 2: Convert to fraction form
    40,259/88,486 = 88,486/x
  3. Step 3: Cross multiply
    40,259x = 88,486 × 88,486
  4. Step 4: Simplify right side
    40,259x = 7,829,772,196
  5. Step 5: Solve for x
    x = 7,829,772,196/40,259
  6. Step 6: Final answer
    x = 194,485.01

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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.