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Finding the Third Proportional to 72,045 and 115,756.88

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Solution

The third proportional to 72,045 and 115,756.88 is: 185,990.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,045 : 115,756.88 = 115,756.88 : x
  2. Step 2: Convert to fraction form
    72,045/115,756.88 = 115,756.88/x
  3. Step 3: Cross multiply
    72,045x = 115,756.88 × 115,756.88
  4. Step 4: Simplify right side
    72,045x = 13,399,654,109.77
  5. Step 5: Solve for x
    x = 13,399,654,109.77/72,045
  6. Step 6: Final answer
    x = 185,990.06

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.