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Finding the Third Proportional to 65,323 and 95,464

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Solution

The third proportional to 65,323 and 95,464 is: 139,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,323 : 95,464 = 95,464 : x
  2. Step 2: Convert to fraction form
    65,323/95,464 = 95,464/x
  3. Step 3: Cross multiply
    65,323x = 95,464 × 95,464
  4. Step 4: Simplify right side
    65,323x = 9,113,375,296
  5. Step 5: Solve for x
    x = 9,113,375,296/65,323
  6. Step 6: Final answer
    x = 139,512.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.