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Finding the Third Proportional to 92,348 and 140,466

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Solution

The third proportional to 92,348 and 140,466 is: 213,655.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,348 : 140,466 = 140,466 : x
  2. Step 2: Convert to fraction form
    92,348/140,466 = 140,466/x
  3. Step 3: Cross multiply
    92,348x = 140,466 × 140,466
  4. Step 4: Simplify right side
    92,348x = 19,730,697,156
  5. Step 5: Solve for x
    x = 19,730,697,156/92,348
  6. Step 6: Final answer
    x = 213,655.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.