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Finding the Third Proportional to 137,131 and 207,158.50

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Solution

The third proportional to 137,131 and 207,158.50 is: 312,946.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,131 : 207,158.50 = 207,158.50 : x
  2. Step 2: Convert to fraction form
    137,131/207,158.50 = 207,158.50/x
  3. Step 3: Cross multiply
    137,131x = 207,158.50 × 207,158.50
  4. Step 4: Simplify right side
    137,131x = 42,914,644,122.25
  5. Step 5: Solve for x
    x = 42,914,644,122.25/137,131
  6. Step 6: Final answer
    x = 312,946.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.