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Finding the Third Proportional to 128,974 and 172,012.50

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Solution

The third proportional to 128,974 and 172,012.50 is: 229,412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,974 : 172,012.50 = 172,012.50 : x
  2. Step 2: Convert to fraction form
    128,974/172,012.50 = 172,012.50/x
  3. Step 3: Cross multiply
    128,974x = 172,012.50 × 172,012.50
  4. Step 4: Simplify right side
    128,974x = 29,588,300,156.25
  5. Step 5: Solve for x
    x = 29,588,300,156.25/128,974
  6. Step 6: Final answer
    x = 229,412.91

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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.