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Finding the Third Proportional to 70,006.50 and 106,308

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Solution

The third proportional to 70,006.50 and 106,308 is: 161,433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,006.50 : 106,308 = 106,308 : x
  2. Step 2: Convert to fraction form
    70,006.50/106,308 = 106,308/x
  3. Step 3: Cross multiply
    70,006.50x = 106,308 × 106,308
  4. Step 4: Simplify right side
    70,006.50x = 11,301,390,864
  5. Step 5: Solve for x
    x = 11,301,390,864/70,006.50
  6. Step 6: Final answer
    x = 161,433.45

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.