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Finding the Third Proportional to 65,347 and 96,106

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Solution

The third proportional to 65,347 and 96,106 is: 141,343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,347 : 96,106 = 96,106 : x
  2. Step 2: Convert to fraction form
    65,347/96,106 = 96,106/x
  3. Step 3: Cross multiply
    65,347x = 96,106 × 96,106
  4. Step 4: Simplify right side
    65,347x = 9,236,363,236
  5. Step 5: Solve for x
    x = 9,236,363,236/65,347
  6. Step 6: Final answer
    x = 141,343.34

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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.