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Finding the Third Proportional to 65,701 and 101,937

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Solution

The third proportional to 65,701 and 101,937 is: 158,158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,701 : 101,937 = 101,937 : x
  2. Step 2: Convert to fraction form
    65,701/101,937 = 101,937/x
  3. Step 3: Cross multiply
    65,701x = 101,937 × 101,937
  4. Step 4: Simplify right side
    65,701x = 10,391,151,969
  5. Step 5: Solve for x
    x = 10,391,151,969/65,701
  6. Step 6: Final answer
    x = 158,158.20

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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.