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Finding the Third Proportional to 106,063 and 148,666.50

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Solution

The third proportional to 106,063 and 148,666.50 is: 208,383.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,063 : 148,666.50 = 148,666.50 : x
  2. Step 2: Convert to fraction form
    106,063/148,666.50 = 148,666.50/x
  3. Step 3: Cross multiply
    106,063x = 148,666.50 × 148,666.50
  4. Step 4: Simplify right side
    106,063x = 22,101,728,222.25
  5. Step 5: Solve for x
    x = 22,101,728,222.25/106,063
  6. Step 6: Final answer
    x = 208,383.02

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.