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Finding the Third Proportional to 71,454 and 105,040.50

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Solution

The third proportional to 71,454 and 105,040.50 is: 154,414.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,454 : 105,040.50 = 105,040.50 : x
  2. Step 2: Convert to fraction form
    71,454/105,040.50 = 105,040.50/x
  3. Step 3: Cross multiply
    71,454x = 105,040.50 × 105,040.50
  4. Step 4: Simplify right side
    71,454x = 11,033,506,640.25
  5. Step 5: Solve for x
    x = 11,033,506,640.25/71,454
  6. Step 6: Final answer
    x = 154,414.12

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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.