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Finding the Third Proportional to 147,036 and 207,063

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Solution

The third proportional to 147,036 and 207,063 is: 291,595.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,036 : 207,063 = 207,063 : x
  2. Step 2: Convert to fraction form
    147,036/207,063 = 207,063/x
  3. Step 3: Cross multiply
    147,036x = 207,063 × 207,063
  4. Step 4: Simplify right side
    147,036x = 42,875,085,969
  5. Step 5: Solve for x
    x = 42,875,085,969/147,036
  6. Step 6: Final answer
    x = 291,595.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.