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Finding the Third Proportional to 61,085.25 and 89,444.25

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Solution

The third proportional to 61,085.25 and 89,444.25 is: 130,969.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,085.25 : 89,444.25 = 89,444.25 : x
  2. Step 2: Convert to fraction form
    61,085.25/89,444.25 = 89,444.25/x
  3. Step 3: Cross multiply
    61,085.25x = 89,444.25 × 89,444.25
  4. Step 4: Simplify right side
    61,085.25x = 8,000,273,858.06
  5. Step 5: Solve for x
    x = 8,000,273,858.06/61,085.25
  6. Step 6: Final answer
    x = 130,969.00

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