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Finding the Third Proportional to 65,080 and 97,188

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Solution

The third proportional to 65,080 and 97,188 is: 145,136.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,080 : 97,188 = 97,188 : x
  2. Step 2: Convert to fraction form
    65,080/97,188 = 97,188/x
  3. Step 3: Cross multiply
    65,080x = 97,188 × 97,188
  4. Step 4: Simplify right side
    65,080x = 9,445,507,344
  5. Step 5: Solve for x
    x = 9,445,507,344/65,080
  6. Step 6: Final answer
    x = 145,136.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.