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Finding the Third Proportional to 64,744 and 97,584

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Solution

The third proportional to 64,744 and 97,584 is: 147,081.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,744 : 97,584 = 97,584 : x
  2. Step 2: Convert to fraction form
    64,744/97,584 = 97,584/x
  3. Step 3: Cross multiply
    64,744x = 97,584 × 97,584
  4. Step 4: Simplify right side
    64,744x = 9,522,637,056
  5. Step 5: Solve for x
    x = 9,522,637,056/64,744
  6. Step 6: Final answer
    x = 147,081.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.