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Finding the Third Proportional to 52,814 and 77,358

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Solution

The third proportional to 52,814 and 77,358 is: 113,308.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,814 : 77,358 = 77,358 : x
  2. Step 2: Convert to fraction form
    52,814/77,358 = 77,358/x
  3. Step 3: Cross multiply
    52,814x = 77,358 × 77,358
  4. Step 4: Simplify right side
    52,814x = 5,984,260,164
  5. Step 5: Solve for x
    x = 5,984,260,164/52,814
  6. Step 6: Final answer
    x = 113,308.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.