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Finding the Third Proportional to 113,875.88 and 166,424.63

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Solution

The third proportional to 113,875.88 and 166,424.63 is: 243,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,875.88 : 166,424.63 = 166,424.63 : x
  2. Step 2: Convert to fraction form
    113,875.88/166,424.63 = 166,424.63/x
  3. Step 3: Cross multiply
    113,875.88x = 166,424.63 × 166,424.63
  4. Step 4: Simplify right side
    113,875.88x = 27,697,155,806.39
  5. Step 5: Solve for x
    x = 27,697,155,806.39/113,875.88
  6. Step 6: Final answer
    x = 243,222.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.