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Finding the Third Proportional to 65,687.63 and 101,918.25

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Solution

The third proportional to 65,687.63 and 101,918.25 is: 158,132.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,687.63 : 101,918.25 = 101,918.25 : x
  2. Step 2: Convert to fraction form
    65,687.63/101,918.25 = 101,918.25/x
  3. Step 3: Cross multiply
    65,687.63x = 101,918.25 × 101,918.25
  4. Step 4: Simplify right side
    65,687.63x = 10,387,329,683.06
  5. Step 5: Solve for x
    x = 10,387,329,683.06/65,687.63
  6. Step 6: Final answer
    x = 158,132.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.