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Finding the Third Proportional to 65,695.50 and 148,929.75

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Solution

The third proportional to 65,695.50 and 148,929.75 is: 337,619.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,695.50 : 148,929.75 = 148,929.75 : x
  2. Step 2: Convert to fraction form
    65,695.50/148,929.75 = 148,929.75/x
  3. Step 3: Cross multiply
    65,695.50x = 148,929.75 × 148,929.75
  4. Step 4: Simplify right side
    65,695.50x = 22,180,070,435.06
  5. Step 5: Solve for x
    x = 22,180,070,435.06/65,695.50
  6. Step 6: Final answer
    x = 337,619.33

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.