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Finding the Third Proportional to 65,748 and 96,302

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Solution

The third proportional to 65,748 and 96,302 is: 141,054.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,748 : 96,302 = 96,302 : x
  2. Step 2: Convert to fraction form
    65,748/96,302 = 96,302/x
  3. Step 3: Cross multiply
    65,748x = 96,302 × 96,302
  4. Step 4: Simplify right side
    65,748x = 9,274,075,204
  5. Step 5: Solve for x
    x = 9,274,075,204/65,748
  6. Step 6: Final answer
    x = 141,054.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.