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Finding the Third Proportional to 137,765 and 292,063

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Solution

The third proportional to 137,765 and 292,063 is: 619,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,765 : 292,063 = 292,063 : x
  2. Step 2: Convert to fraction form
    137,765/292,063 = 292,063/x
  3. Step 3: Cross multiply
    137,765x = 292,063 × 292,063
  4. Step 4: Simplify right side
    137,765x = 85,300,795,969
  5. Step 5: Solve for x
    x = 85,300,795,969/137,765
  6. Step 6: Final answer
    x = 619,176.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.