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Finding the Third Proportional to 109,473 and 164,992.50

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Solution

The third proportional to 109,473 and 164,992.50 is: 248,668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,473 : 164,992.50 = 164,992.50 : x
  2. Step 2: Convert to fraction form
    109,473/164,992.50 = 164,992.50/x
  3. Step 3: Cross multiply
    109,473x = 164,992.50 × 164,992.50
  4. Step 4: Simplify right side
    109,473x = 27,222,525,056.25
  5. Step 5: Solve for x
    x = 27,222,525,056.25/109,473
  6. Step 6: Final answer
    x = 248,668.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.