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Finding the Third Proportional to 74,646.56 and 113,154.47

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Solution

The third proportional to 74,646.56 and 113,154.47 is: 171,527.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,646.56 : 113,154.47 = 113,154.47 : x
  2. Step 2: Convert to fraction form
    74,646.56/113,154.47 = 113,154.47/x
  3. Step 3: Cross multiply
    74,646.56x = 113,154.47 × 113,154.47
  4. Step 4: Simplify right side
    74,646.56x = 12,803,933,798.09
  5. Step 5: Solve for x
    x = 12,803,933,798.09/74,646.56
  6. Step 6: Final answer
    x = 171,527.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.