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Finding the Third Proportional to 70,969.50 and 150,592.50

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Solution

The third proportional to 70,969.50 and 150,592.50 is: 319,547.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,969.50 : 150,592.50 = 150,592.50 : x
  2. Step 2: Convert to fraction form
    70,969.50/150,592.50 = 150,592.50/x
  3. Step 3: Cross multiply
    70,969.50x = 150,592.50 × 150,592.50
  4. Step 4: Simplify right side
    70,969.50x = 22,678,101,056.25
  5. Step 5: Solve for x
    x = 22,678,101,056.25/70,969.50
  6. Step 6: Final answer
    x = 319,547.14

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.