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Finding the Third Proportional to 60,778 and 92,007

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Solution

The third proportional to 60,778 and 92,007 is: 139,282.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,778 : 92,007 = 92,007 : x
  2. Step 2: Convert to fraction form
    60,778/92,007 = 92,007/x
  3. Step 3: Cross multiply
    60,778x = 92,007 × 92,007
  4. Step 4: Simplify right side
    60,778x = 8,465,288,049
  5. Step 5: Solve for x
    x = 8,465,288,049/60,778
  6. Step 6: Final answer
    x = 139,282.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.