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Finding the Third Proportional to 137,116 and 207,132

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Solution

The third proportional to 137,116 and 207,132 is: 312,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,116 : 207,132 = 207,132 : x
  2. Step 2: Convert to fraction form
    137,116/207,132 = 207,132/x
  3. Step 3: Cross multiply
    137,116x = 207,132 × 207,132
  4. Step 4: Simplify right side
    137,116x = 42,903,665,424
  5. Step 5: Solve for x
    x = 42,903,665,424/137,116
  6. Step 6: Final answer
    x = 312,900.50

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Why These Related Problems?

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