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Finding the Third Proportional to 64,814 and 93,669

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Solution

The third proportional to 64,814 and 93,669 is: 135,370.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,814 : 93,669 = 93,669 : x
  2. Step 2: Convert to fraction form
    64,814/93,669 = 93,669/x
  3. Step 3: Cross multiply
    64,814x = 93,669 × 93,669
  4. Step 4: Simplify right side
    64,814x = 8,773,881,561
  5. Step 5: Solve for x
    x = 8,773,881,561/64,814
  6. Step 6: Final answer
    x = 135,370.16

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.