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Finding the Third Proportional to 67,536 and 98,376

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Solution

The third proportional to 67,536 and 98,376 is: 143,298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,536 : 98,376 = 98,376 : x
  2. Step 2: Convert to fraction form
    67,536/98,376 = 98,376/x
  3. Step 3: Cross multiply
    67,536x = 98,376 × 98,376
  4. Step 4: Simplify right side
    67,536x = 9,677,837,376
  5. Step 5: Solve for x
    x = 9,677,837,376/67,536
  6. Step 6: Final answer
    x = 143,298.94

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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.