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Finding the Third Proportional to 42,178 and 63,148

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Solution

The third proportional to 42,178 and 63,148 is: 94,543.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,178 : 63,148 = 63,148 : x
  2. Step 2: Convert to fraction form
    42,178/63,148 = 63,148/x
  3. Step 3: Cross multiply
    42,178x = 63,148 × 63,148
  4. Step 4: Simplify right side
    42,178x = 3,987,669,904
  5. Step 5: Solve for x
    x = 3,987,669,904/42,178
  6. Step 6: Final answer
    x = 94,543.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.