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Finding the Third Proportional to 68,892.38 and 97,509.75

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Solution

The third proportional to 68,892.38 and 97,509.75 is: 138,014.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,892.38 : 97,509.75 = 97,509.75 : x
  2. Step 2: Convert to fraction form
    68,892.38/97,509.75 = 97,509.75/x
  3. Step 3: Cross multiply
    68,892.38x = 97,509.75 × 97,509.75
  4. Step 4: Simplify right side
    68,892.38x = 9,508,151,345.06
  5. Step 5: Solve for x
    x = 9,508,151,345.06/68,892.38
  6. Step 6: Final answer
    x = 138,014.57

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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.