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Finding the Third Proportional to 68,904 and 97,024.50

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Solution

The third proportional to 68,904 and 97,024.50 is: 136,621.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,904 : 97,024.50 = 97,024.50 : x
  2. Step 2: Convert to fraction form
    68,904/97,024.50 = 97,024.50/x
  3. Step 3: Cross multiply
    68,904x = 97,024.50 × 97,024.50
  4. Step 4: Simplify right side
    68,904x = 9,413,753,600.25
  5. Step 5: Solve for x
    x = 9,413,753,600.25/68,904
  6. Step 6: Final answer
    x = 136,621.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.