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Finding the Third Proportional to 125,182.50 and 260,719.50

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Solution

The third proportional to 125,182.50 and 260,719.50 is: 543,004.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,182.50 : 260,719.50 = 260,719.50 : x
  2. Step 2: Convert to fraction form
    125,182.50/260,719.50 = 260,719.50/x
  3. Step 3: Cross multiply
    125,182.50x = 260,719.50 × 260,719.50
  4. Step 4: Simplify right side
    125,182.50x = 67,974,657,680.25
  5. Step 5: Solve for x
    x = 67,974,657,680.25/125,182.50
  6. Step 6: Final answer
    x = 543,004.47

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.