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Finding the Third Proportional to 65,764.41 and 142,038.56

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Solution

The third proportional to 65,764.41 and 142,038.56 is: 306,776.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,764.41 : 142,038.56 = 142,038.56 : x
  2. Step 2: Convert to fraction form
    65,764.41/142,038.56 = 142,038.56/x
  3. Step 3: Cross multiply
    65,764.41x = 142,038.56 × 142,038.56
  4. Step 4: Simplify right side
    65,764.41x = 20,174,953,237.07
  5. Step 5: Solve for x
    x = 20,174,953,237.07/65,764.41
  6. Step 6: Final answer
    x = 306,776.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.