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Finding the Third Proportional to 65,632.50 and 101,826

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Solution

The third proportional to 65,632.50 and 101,826 is: 157,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,632.50 : 101,826 = 101,826 : x
  2. Step 2: Convert to fraction form
    65,632.50/101,826 = 101,826/x
  3. Step 3: Cross multiply
    65,632.50x = 101,826 × 101,826
  4. Step 4: Simplify right side
    65,632.50x = 10,368,534,276
  5. Step 5: Solve for x
    x = 10,368,534,276/65,632.50
  6. Step 6: Final answer
    x = 157,978.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.