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Finding the Third Proportional to 62,778 and 134,196

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Solution

The third proportional to 62,778 and 134,196 is: 286,861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,778 : 134,196 = 134,196 : x
  2. Step 2: Convert to fraction form
    62,778/134,196 = 134,196/x
  3. Step 3: Cross multiply
    62,778x = 134,196 × 134,196
  4. Step 4: Simplify right side
    62,778x = 18,008,566,416
  5. Step 5: Solve for x
    x = 18,008,566,416/62,778
  6. Step 6: Final answer
    x = 286,861.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.