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Finding the Third Proportional to 42,148 and 56,558

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Solution

The third proportional to 42,148 and 56,558 is: 75,894.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,148 : 56,558 = 56,558 : x
  2. Step 2: Convert to fraction form
    42,148/56,558 = 56,558/x
  3. Step 3: Cross multiply
    42,148x = 56,558 × 56,558
  4. Step 4: Simplify right side
    42,148x = 3,198,807,364
  5. Step 5: Solve for x
    x = 3,198,807,364/42,148
  6. Step 6: Final answer
    x = 75,894.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.