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Finding the Third Proportional to 137,943.75 and 185,374.50

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Solution

The third proportional to 137,943.75 and 185,374.50 is: 249,113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,943.75 : 185,374.50 = 185,374.50 : x
  2. Step 2: Convert to fraction form
    137,943.75/185,374.50 = 185,374.50/x
  3. Step 3: Cross multiply
    137,943.75x = 185,374.50 × 185,374.50
  4. Step 4: Simplify right side
    137,943.75x = 34,363,705,250.25
  5. Step 5: Solve for x
    x = 34,363,705,250.25/137,943.75
  6. Step 6: Final answer
    x = 249,113.90

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