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Finding the Third Proportional to 65,482 and 98,772

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Solution

The third proportional to 65,482 and 98,772 is: 148,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,482 : 98,772 = 98,772 : x
  2. Step 2: Convert to fraction form
    65,482/98,772 = 98,772/x
  3. Step 3: Cross multiply
    65,482x = 98,772 × 98,772
  4. Step 4: Simplify right side
    65,482x = 9,755,907,984
  5. Step 5: Solve for x
    x = 9,755,907,984/65,482
  6. Step 6: Final answer
    x = 148,986.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.