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Finding the Third Proportional to 65,813.13 and 99,308.53

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Solution

The third proportional to 65,813.13 and 99,308.53 is: 149,851.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,813.13 : 99,308.53 = 99,308.53 : x
  2. Step 2: Convert to fraction form
    65,813.13/99,308.53 = 99,308.53/x
  3. Step 3: Cross multiply
    65,813.13x = 99,308.53 × 99,308.53
  4. Step 4: Simplify right side
    65,813.13x = 9,862,184,379.03
  5. Step 5: Solve for x
    x = 9,862,184,379.03/65,813.13
  6. Step 6: Final answer
    x = 149,851.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.