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Finding the Third Proportional to 137,963.25 and 185,402.25

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Solution

The third proportional to 137,963.25 and 185,402.25 is: 249,153.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,963.25 : 185,402.25 = 185,402.25 : x
  2. Step 2: Convert to fraction form
    137,963.25/185,402.25 = 185,402.25/x
  3. Step 3: Cross multiply
    137,963.25x = 185,402.25 × 185,402.25
  4. Step 4: Simplify right side
    137,963.25x = 34,373,994,305.06
  5. Step 5: Solve for x
    x = 34,373,994,305.06/137,963.25
  6. Step 6: Final answer
    x = 249,153.27

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.