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Finding the Third Proportional to 95,146.13 and 125,139.94

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Solution

The third proportional to 95,146.13 and 125,139.94 is: 164,588.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,146.13 : 125,139.94 = 125,139.94 : x
  2. Step 2: Convert to fraction form
    95,146.13/125,139.94 = 125,139.94/x
  3. Step 3: Cross multiply
    95,146.13x = 125,139.94 × 125,139.94
  4. Step 4: Simplify right side
    95,146.13x = 15,660,003,957.50
  5. Step 5: Solve for x
    x = 15,660,003,957.50/95,146.13
  6. Step 6: Final answer
    x = 164,588.98

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.