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Finding the Third Proportional to 72,498 and 109,273.50

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Solution

The third proportional to 72,498 and 109,273.50 is: 164,703.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,498 : 109,273.50 = 109,273.50 : x
  2. Step 2: Convert to fraction form
    72,498/109,273.50 = 109,273.50/x
  3. Step 3: Cross multiply
    72,498x = 109,273.50 × 109,273.50
  4. Step 4: Simplify right side
    72,498x = 11,940,697,802.25
  5. Step 5: Solve for x
    x = 11,940,697,802.25/72,498
  6. Step 6: Final answer
    x = 164,703.82

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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.