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Finding the Third Proportional to 136,746.56 and 207,009

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Solution

The third proportional to 136,746.56 and 207,009 is: 313,373.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,746.56 : 207,009 = 207,009 : x
  2. Step 2: Convert to fraction form
    136,746.56/207,009 = 207,009/x
  3. Step 3: Cross multiply
    136,746.56x = 207,009 × 207,009
  4. Step 4: Simplify right side
    136,746.56x = 42,852,726,081
  5. Step 5: Solve for x
    x = 42,852,726,081/136,746.56
  6. Step 6: Final answer
    x = 313,373.33

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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.