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Finding the Third Proportional to 43,070 and 63,186

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Solution

The third proportional to 43,070 and 63,186 is: 92,697.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,070 : 63,186 = 63,186 : x
  2. Step 2: Convert to fraction form
    43,070/63,186 = 63,186/x
  3. Step 3: Cross multiply
    43,070x = 63,186 × 63,186
  4. Step 4: Simplify right side
    43,070x = 3,992,470,596
  5. Step 5: Solve for x
    x = 3,992,470,596/43,070
  6. Step 6: Final answer
    x = 92,697.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.