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Finding the Third Proportional to 101,247 and 151,312.50

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Solution

The third proportional to 101,247 and 151,312.50 is: 226,134.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,247 : 151,312.50 = 151,312.50 : x
  2. Step 2: Convert to fraction form
    101,247/151,312.50 = 151,312.50/x
  3. Step 3: Cross multiply
    101,247x = 151,312.50 × 151,312.50
  4. Step 4: Simplify right side
    101,247x = 22,895,472,656.25
  5. Step 5: Solve for x
    x = 22,895,472,656.25/101,247
  6. Step 6: Final answer
    x = 226,134.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.