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Finding the Third Proportional to 65,738 and 97,862

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Solution

The third proportional to 65,738 and 97,862 is: 145,683.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,738 : 97,862 = 97,862 : x
  2. Step 2: Convert to fraction form
    65,738/97,862 = 97,862/x
  3. Step 3: Cross multiply
    65,738x = 97,862 × 97,862
  4. Step 4: Simplify right side
    65,738x = 9,576,971,044
  5. Step 5: Solve for x
    x = 9,576,971,044/65,738
  6. Step 6: Final answer
    x = 145,683.94

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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.