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Finding the Third Proportional to 65,016 and 103,445

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Solution

The third proportional to 65,016 and 103,445 is: 164,588.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,016 : 103,445 = 103,445 : x
  2. Step 2: Convert to fraction form
    65,016/103,445 = 103,445/x
  3. Step 3: Cross multiply
    65,016x = 103,445 × 103,445
  4. Step 4: Simplify right side
    65,016x = 10,700,868,025
  5. Step 5: Solve for x
    x = 10,700,868,025/65,016
  6. Step 6: Final answer
    x = 164,588.22

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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.