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Finding the Third Proportional to 64,854 and 97,137

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Solution

The third proportional to 64,854 and 97,137 is: 145,489.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,854 : 97,137 = 97,137 : x
  2. Step 2: Convert to fraction form
    64,854/97,137 = 97,137/x
  3. Step 3: Cross multiply
    64,854x = 97,137 × 97,137
  4. Step 4: Simplify right side
    64,854x = 9,435,596,769
  5. Step 5: Solve for x
    x = 9,435,596,769/64,854
  6. Step 6: Final answer
    x = 145,489.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.