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Finding the Third Proportional to 65,225.25 and 95,924.25

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Solution

The third proportional to 65,225.25 and 95,924.25 is: 141,072.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,225.25 : 95,924.25 = 95,924.25 : x
  2. Step 2: Convert to fraction form
    65,225.25/95,924.25 = 95,924.25/x
  3. Step 3: Cross multiply
    65,225.25x = 95,924.25 × 95,924.25
  4. Step 4: Simplify right side
    65,225.25x = 9,201,461,738.06
  5. Step 5: Solve for x
    x = 9,201,461,738.06/65,225.25
  6. Step 6: Final answer
    x = 141,072.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.