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Finding the Third Proportional to 68,013 and 97,399.13

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Solution

The third proportional to 68,013 and 97,399.13 is: 139,482.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,013 : 97,399.13 = 97,399.13 : x
  2. Step 2: Convert to fraction form
    68,013/97,399.13 = 97,399.13/x
  3. Step 3: Cross multiply
    68,013x = 97,399.13 × 97,399.13
  4. Step 4: Simplify right side
    68,013x = 9,486,589,550.77
  5. Step 5: Solve for x
    x = 9,486,589,550.77/68,013
  6. Step 6: Final answer
    x = 139,482.00

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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.