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Finding the Third Proportional to 66,571.50 and 145,428

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Solution

The third proportional to 66,571.50 and 145,428 is: 317,693.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,571.50 : 145,428 = 145,428 : x
  2. Step 2: Convert to fraction form
    66,571.50/145,428 = 145,428/x
  3. Step 3: Cross multiply
    66,571.50x = 145,428 × 145,428
  4. Step 4: Simplify right side
    66,571.50x = 21,149,303,184
  5. Step 5: Solve for x
    x = 21,149,303,184/66,571.50
  6. Step 6: Final answer
    x = 317,693.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.