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Finding the Third Proportional to 68,899.13 and 97,518.38

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Solution

The third proportional to 68,899.13 and 97,518.38 is: 138,025.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,899.13 : 97,518.38 = 97,518.38 : x
  2. Step 2: Convert to fraction form
    68,899.13/97,518.38 = 97,518.38/x
  3. Step 3: Cross multiply
    68,899.13x = 97,518.38 × 97,518.38
  4. Step 4: Simplify right side
    68,899.13x = 9,509,833,462.64
  5. Step 5: Solve for x
    x = 9,509,833,462.64/68,899.13
  6. Step 6: Final answer
    x = 138,025.46

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.