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Finding the Third Proportional to 74,538 and 114,403

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Solution

The third proportional to 74,538 and 114,403 is: 175,588.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,538 : 114,403 = 114,403 : x
  2. Step 2: Convert to fraction form
    74,538/114,403 = 114,403/x
  3. Step 3: Cross multiply
    74,538x = 114,403 × 114,403
  4. Step 4: Simplify right side
    74,538x = 13,088,046,409
  5. Step 5: Solve for x
    x = 13,088,046,409/74,538
  6. Step 6: Final answer
    x = 175,588.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.