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Finding the Third Proportional to 96,007.50 and 128,457

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Solution

The third proportional to 96,007.50 and 128,457 is: 171,874.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,007.50 : 128,457 = 128,457 : x
  2. Step 2: Convert to fraction form
    96,007.50/128,457 = 128,457/x
  3. Step 3: Cross multiply
    96,007.50x = 128,457 × 128,457
  4. Step 4: Simplify right side
    96,007.50x = 16,501,200,849
  5. Step 5: Solve for x
    x = 16,501,200,849/96,007.50
  6. Step 6: Final answer
    x = 171,874.08

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.