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Finding the Third Proportional to 65,062 and 95,113

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Solution

The third proportional to 65,062 and 95,113 is: 139,044.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,062 : 95,113 = 95,113 : x
  2. Step 2: Convert to fraction form
    65,062/95,113 = 95,113/x
  3. Step 3: Cross multiply
    65,062x = 95,113 × 95,113
  4. Step 4: Simplify right side
    65,062x = 9,046,482,769
  5. Step 5: Solve for x
    x = 9,046,482,769/65,062
  6. Step 6: Final answer
    x = 139,044.03

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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.