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Finding the Third Proportional to 139,473 and 207,157.50

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Solution

The third proportional to 139,473 and 207,157.50 is: 307,688.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,473 : 207,157.50 = 207,157.50 : x
  2. Step 2: Convert to fraction form
    139,473/207,157.50 = 207,157.50/x
  3. Step 3: Cross multiply
    139,473x = 207,157.50 × 207,157.50
  4. Step 4: Simplify right side
    139,473x = 42,914,229,806.25
  5. Step 5: Solve for x
    x = 42,914,229,806.25/139,473
  6. Step 6: Final answer
    x = 307,688.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.