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Finding the Third Proportional to 137,649.75 and 185,252.63

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Solution

The third proportional to 137,649.75 and 185,252.63 is: 249,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,649.75 : 185,252.63 = 185,252.63 : x
  2. Step 2: Convert to fraction form
    137,649.75/185,252.63 = 185,252.63/x
  3. Step 3: Cross multiply
    137,649.75x = 185,252.63 × 185,252.63
  4. Step 4: Simplify right side
    137,649.75x = 34,318,535,069.39
  5. Step 5: Solve for x
    x = 34,318,535,069.39/137,649.75
  6. Step 6: Final answer
    x = 249,317.82

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