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Finding the Third Proportional to 65,646 and 97,083

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Solution

The third proportional to 65,646 and 97,083 is: 143,574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,646 : 97,083 = 97,083 : x
  2. Step 2: Convert to fraction form
    65,646/97,083 = 97,083/x
  3. Step 3: Cross multiply
    65,646x = 97,083 × 97,083
  4. Step 4: Simplify right side
    65,646x = 9,425,108,889
  5. Step 5: Solve for x
    x = 9,425,108,889/65,646
  6. Step 6: Final answer
    x = 143,574.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.