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Finding the Third Proportional to 74,655 and 115,597.13

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Solution

The third proportional to 74,655 and 115,597.13 is: 178,992.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,655 : 115,597.13 = 115,597.13 : x
  2. Step 2: Convert to fraction form
    74,655/115,597.13 = 115,597.13/x
  3. Step 3: Cross multiply
    74,655x = 115,597.13 × 115,597.13
  4. Step 4: Simplify right side
    74,655x = 13,362,695,308.27
  5. Step 5: Solve for x
    x = 13,362,695,308.27/74,655
  6. Step 6: Final answer
    x = 178,992.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.