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Finding the Third Proportional to 64,038.94 and 95,538.38

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Solution

The third proportional to 64,038.94 and 95,538.38 is: 142,531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,038.94 : 95,538.38 = 95,538.38 : x
  2. Step 2: Convert to fraction form
    64,038.94/95,538.38 = 95,538.38/x
  3. Step 3: Cross multiply
    64,038.94x = 95,538.38 × 95,538.38
  4. Step 4: Simplify right side
    64,038.94x = 9,127,581,097.64
  5. Step 5: Solve for x
    x = 9,127,581,097.64/64,038.94
  6. Step 6: Final answer
    x = 142,531.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.