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Finding the Third Proportional to 137,130 and 207,157

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Solution

The third proportional to 137,130 and 207,157 is: 312,944.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,130 : 207,157 = 207,157 : x
  2. Step 2: Convert to fraction form
    137,130/207,157 = 207,157/x
  3. Step 3: Cross multiply
    137,130x = 207,157 × 207,157
  4. Step 4: Simplify right side
    137,130x = 42,914,022,649
  5. Step 5: Solve for x
    x = 42,914,022,649/137,130
  6. Step 6: Final answer
    x = 312,944.09

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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.