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Finding the Third Proportional to 42,466 and 92,316

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Solution

The third proportional to 42,466 and 92,316 is: 200,683.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,466 : 92,316 = 92,316 : x
  2. Step 2: Convert to fraction form
    42,466/92,316 = 92,316/x
  3. Step 3: Cross multiply
    42,466x = 92,316 × 92,316
  4. Step 4: Simplify right side
    42,466x = 8,522,243,856
  5. Step 5: Solve for x
    x = 8,522,243,856/42,466
  6. Step 6: Final answer
    x = 200,683.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.