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Finding the Third Proportional to 65,851.31 and 141,689.25

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Solution

The third proportional to 65,851.31 and 141,689.25 is: 304,866.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,851.31 : 141,689.25 = 141,689.25 : x
  2. Step 2: Convert to fraction form
    65,851.31/141,689.25 = 141,689.25/x
  3. Step 3: Cross multiply
    65,851.31x = 141,689.25 × 141,689.25
  4. Step 4: Simplify right side
    65,851.31x = 20,075,843,565.56
  5. Step 5: Solve for x
    x = 20,075,843,565.56/65,851.31
  6. Step 6: Final answer
    x = 304,866.26

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.