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Finding the Third Proportional to 64,901.25 and 98,570.25

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Solution

The third proportional to 64,901.25 and 98,570.25 is: 149,705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,901.25 : 98,570.25 = 98,570.25 : x
  2. Step 2: Convert to fraction form
    64,901.25/98,570.25 = 98,570.25/x
  3. Step 3: Cross multiply
    64,901.25x = 98,570.25 × 98,570.25
  4. Step 4: Simplify right side
    64,901.25x = 9,716,094,185.06
  5. Step 5: Solve for x
    x = 9,716,094,185.06/64,901.25
  6. Step 6: Final answer
    x = 149,705.81

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.