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Finding the Third Proportional to 65,974.50 and 101,710.69

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Solution

The third proportional to 65,974.50 and 101,710.69 is: 156,803.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,974.50 : 101,710.69 = 101,710.69 : x
  2. Step 2: Convert to fraction form
    65,974.50/101,710.69 = 101,710.69/x
  3. Step 3: Cross multiply
    65,974.50x = 101,710.69 × 101,710.69
  4. Step 4: Simplify right side
    65,974.50x = 10,345,063,951.72
  5. Step 5: Solve for x
    x = 10,345,063,951.72/65,974.50
  6. Step 6: Final answer
    x = 156,803.98

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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.