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Finding the Third Proportional to 68,234.50 and 97,707

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Solution

The third proportional to 68,234.50 and 97,707 is: 139,909.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,234.50 : 97,707 = 97,707 : x
  2. Step 2: Convert to fraction form
    68,234.50/97,707 = 97,707/x
  3. Step 3: Cross multiply
    68,234.50x = 97,707 × 97,707
  4. Step 4: Simplify right side
    68,234.50x = 9,546,657,849
  5. Step 5: Solve for x
    x = 9,546,657,849/68,234.50
  6. Step 6: Final answer
    x = 139,909.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.