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Finding the Third Proportional to 65,686.50 and 140,706

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Solution

The third proportional to 65,686.50 and 140,706 is: 301,404.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,686.50 : 140,706 = 140,706 : x
  2. Step 2: Convert to fraction form
    65,686.50/140,706 = 140,706/x
  3. Step 3: Cross multiply
    65,686.50x = 140,706 × 140,706
  4. Step 4: Simplify right side
    65,686.50x = 19,798,178,436
  5. Step 5: Solve for x
    x = 19,798,178,436/65,686.50
  6. Step 6: Final answer
    x = 301,404.07

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.