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Finding the Third Proportional to 65,528 and 103,922

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Solution

The third proportional to 65,528 and 103,922 is: 164,811.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,528 : 103,922 = 103,922 : x
  2. Step 2: Convert to fraction form
    65,528/103,922 = 103,922/x
  3. Step 3: Cross multiply
    65,528x = 103,922 × 103,922
  4. Step 4: Simplify right side
    65,528x = 10,799,782,084
  5. Step 5: Solve for x
    x = 10,799,782,084/65,528
  6. Step 6: Final answer
    x = 164,811.72

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