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Finding the Third Proportional to 42,052 and 56,354

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Solution

The third proportional to 42,052 and 56,354 is: 75,520.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,052 : 56,354 = 56,354 : x
  2. Step 2: Convert to fraction form
    42,052/56,354 = 56,354/x
  3. Step 3: Cross multiply
    42,052x = 56,354 × 56,354
  4. Step 4: Simplify right side
    42,052x = 3,175,773,316
  5. Step 5: Solve for x
    x = 3,175,773,316/42,052
  6. Step 6: Final answer
    x = 75,520.15

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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.