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Finding the Third Proportional to 102,711.38 and 162,977.06

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Solution

The third proportional to 102,711.38 and 162,977.06 is: 258,603.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,711.38 : 162,977.06 = 162,977.06 : x
  2. Step 2: Convert to fraction form
    102,711.38/162,977.06 = 162,977.06/x
  3. Step 3: Cross multiply
    102,711.38x = 162,977.06 × 162,977.06
  4. Step 4: Simplify right side
    102,711.38x = 26,561,522,901.13
  5. Step 5: Solve for x
    x = 26,561,522,901.13/102,711.38
  6. Step 6: Final answer
    x = 258,603.52

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.