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Finding the Third Proportional to 65,520 and 98,822.25

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Solution

The third proportional to 65,520 and 98,822.25 is: 149,051.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,520 : 98,822.25 = 98,822.25 : x
  2. Step 2: Convert to fraction form
    65,520/98,822.25 = 98,822.25/x
  3. Step 3: Cross multiply
    65,520x = 98,822.25 × 98,822.25
  4. Step 4: Simplify right side
    65,520x = 9,765,837,095.06
  5. Step 5: Solve for x
    x = 9,765,837,095.06/65,520
  6. Step 6: Final answer
    x = 149,051.24

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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.