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Finding the Third Proportional to 65,706 and 101,919

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Solution

The third proportional to 65,706 and 101,919 is: 158,090.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,706 : 101,919 = 101,919 : x
  2. Step 2: Convert to fraction form
    65,706/101,919 = 101,919/x
  3. Step 3: Cross multiply
    65,706x = 101,919 × 101,919
  4. Step 4: Simplify right side
    65,706x = 10,387,482,561
  5. Step 5: Solve for x
    x = 10,387,482,561/65,706
  6. Step 6: Final answer
    x = 158,090.32

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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.