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Finding the Third Proportional to 65,526.75 and 103,920.75

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Solution

The third proportional to 65,526.75 and 103,920.75 is: 164,810.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,526.75 : 103,920.75 = 103,920.75 : x
  2. Step 2: Convert to fraction form
    65,526.75/103,920.75 = 103,920.75/x
  3. Step 3: Cross multiply
    65,526.75x = 103,920.75 × 103,920.75
  4. Step 4: Simplify right side
    65,526.75x = 10,799,522,280.56
  5. Step 5: Solve for x
    x = 10,799,522,280.56/65,526.75
  6. Step 6: Final answer
    x = 164,810.89

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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.