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Finding the Third Proportional to 66,142 and 99,810

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Solution

The third proportional to 66,142 and 99,810 is: 150,615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,142 : 99,810 = 99,810 : x
  2. Step 2: Convert to fraction form
    66,142/99,810 = 99,810/x
  3. Step 3: Cross multiply
    66,142x = 99,810 × 99,810
  4. Step 4: Simplify right side
    66,142x = 9,962,036,100
  5. Step 5: Solve for x
    x = 9,962,036,100/66,142
  6. Step 6: Final answer
    x = 150,615.89

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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.