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Finding the Third Proportional to 83,145.94 and 128,459.06

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Solution

The third proportional to 83,145.94 and 128,459.06 is: 198,467.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,145.94 : 128,459.06 = 128,459.06 : x
  2. Step 2: Convert to fraction form
    83,145.94/128,459.06 = 128,459.06/x
  3. Step 3: Cross multiply
    83,145.94x = 128,459.06 × 128,459.06
  4. Step 4: Simplify right side
    83,145.94x = 16,501,730,738.38
  5. Step 5: Solve for x
    x = 16,501,730,738.38/83,145.94
  6. Step 6: Final answer
    x = 198,467.07

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.