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Finding the Third Proportional to 64,782 and 103,032

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Solution

The third proportional to 64,782 and 103,032 is: 163,866.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,782 : 103,032 = 103,032 : x
  2. Step 2: Convert to fraction form
    64,782/103,032 = 103,032/x
  3. Step 3: Cross multiply
    64,782x = 103,032 × 103,032
  4. Step 4: Simplify right side
    64,782x = 10,615,593,024
  5. Step 5: Solve for x
    x = 10,615,593,024/64,782
  6. Step 6: Final answer
    x = 163,866.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.