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Finding the Third Proportional to 64,939 and 97,835

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Solution

The third proportional to 64,939 and 97,835 is: 147,395.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,939 : 97,835 = 97,835 : x
  2. Step 2: Convert to fraction form
    64,939/97,835 = 97,835/x
  3. Step 3: Cross multiply
    64,939x = 97,835 × 97,835
  4. Step 4: Simplify right side
    64,939x = 9,571,687,225
  5. Step 5: Solve for x
    x = 9,571,687,225/64,939
  6. Step 6: Final answer
    x = 147,395.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.