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Finding the Third Proportional to 67,306.50 and 98,037

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Solution

The third proportional to 67,306.50 and 98,037 is: 142,798.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,306.50 : 98,037 = 98,037 : x
  2. Step 2: Convert to fraction form
    67,306.50/98,037 = 98,037/x
  3. Step 3: Cross multiply
    67,306.50x = 98,037 × 98,037
  4. Step 4: Simplify right side
    67,306.50x = 9,611,253,369
  5. Step 5: Solve for x
    x = 9,611,253,369/67,306.50
  6. Step 6: Final answer
    x = 142,798.29

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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.