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Finding the Third Proportional to 137,599 and 183,485.50

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Solution

The third proportional to 137,599 and 183,485.50 is: 244,674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,599 : 183,485.50 = 183,485.50 : x
  2. Step 2: Convert to fraction form
    137,599/183,485.50 = 183,485.50/x
  3. Step 3: Cross multiply
    137,599x = 183,485.50 × 183,485.50
  4. Step 4: Simplify right side
    137,599x = 33,666,928,710.25
  5. Step 5: Solve for x
    x = 33,666,928,710.25/137,599
  6. Step 6: Final answer
    x = 244,674.23

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.