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Finding the Third Proportional to 65,444 and 96,076

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Solution

The third proportional to 65,444 and 96,076 is: 141,045.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,444 : 96,076 = 96,076 : x
  2. Step 2: Convert to fraction form
    65,444/96,076 = 96,076/x
  3. Step 3: Cross multiply
    65,444x = 96,076 × 96,076
  4. Step 4: Simplify right side
    65,444x = 9,230,597,776
  5. Step 5: Solve for x
    x = 9,230,597,776/65,444
  6. Step 6: Final answer
    x = 141,045.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.