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Finding the Third Proportional to 65,686.50 and 136,044

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Solution

The third proportional to 65,686.50 and 136,044 is: 281,762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,686.50 : 136,044 = 136,044 : x
  2. Step 2: Convert to fraction form
    65,686.50/136,044 = 136,044/x
  3. Step 3: Cross multiply
    65,686.50x = 136,044 × 136,044
  4. Step 4: Simplify right side
    65,686.50x = 18,507,969,936
  5. Step 5: Solve for x
    x = 18,507,969,936/65,686.50
  6. Step 6: Final answer
    x = 281,762.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.