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Finding the Third Proportional to 69,210.56 and 98,971.03

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Solution

The third proportional to 69,210.56 and 98,971.03 is: 141,528.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,210.56 : 98,971.03 = 98,971.03 : x
  2. Step 2: Convert to fraction form
    69,210.56/98,971.03 = 98,971.03/x
  3. Step 3: Cross multiply
    69,210.56x = 98,971.03 × 98,971.03
  4. Step 4: Simplify right side
    69,210.56x = 9,795,265,026.69
  5. Step 5: Solve for x
    x = 9,795,265,026.69/69,210.56
  6. Step 6: Final answer
    x = 141,528.47

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.