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Finding the Third Proportional to 108,015.50 and 145,411.50

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Solution

The third proportional to 108,015.50 and 145,411.50 is: 195,754.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,015.50 : 145,411.50 = 145,411.50 : x
  2. Step 2: Convert to fraction form
    108,015.50/145,411.50 = 145,411.50/x
  3. Step 3: Cross multiply
    108,015.50x = 145,411.50 × 145,411.50
  4. Step 4: Simplify right side
    108,015.50x = 21,144,504,332.25
  5. Step 5: Solve for x
    x = 21,144,504,332.25/108,015.50
  6. Step 6: Final answer
    x = 195,754.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.