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Finding the Third Proportional to 101,186.50 and 148,499

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Solution

The third proportional to 101,186.50 and 148,499 is: 217,933.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,186.50 : 148,499 = 148,499 : x
  2. Step 2: Convert to fraction form
    101,186.50/148,499 = 148,499/x
  3. Step 3: Cross multiply
    101,186.50x = 148,499 × 148,499
  4. Step 4: Simplify right side
    101,186.50x = 22,051,953,001
  5. Step 5: Solve for x
    x = 22,051,953,001/101,186.50
  6. Step 6: Final answer
    x = 217,933.75

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.