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Finding the Third Proportional to 124,179 and 196,717.50

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Solution

The third proportional to 124,179 and 196,717.50 is: 311,628.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,179 : 196,717.50 = 196,717.50 : x
  2. Step 2: Convert to fraction form
    124,179/196,717.50 = 196,717.50/x
  3. Step 3: Cross multiply
    124,179x = 196,717.50 × 196,717.50
  4. Step 4: Simplify right side
    124,179x = 38,697,774,806.25
  5. Step 5: Solve for x
    x = 38,697,774,806.25/124,179
  6. Step 6: Final answer
    x = 311,628.98

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.