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Finding the Third Proportional to 66,014 and 142,549.50

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Solution

The third proportional to 66,014 and 142,549.50 is: 307,818.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,014 : 142,549.50 = 142,549.50 : x
  2. Step 2: Convert to fraction form
    66,014/142,549.50 = 142,549.50/x
  3. Step 3: Cross multiply
    66,014x = 142,549.50 × 142,549.50
  4. Step 4: Simplify right side
    66,014x = 20,320,359,950.25
  5. Step 5: Solve for x
    x = 20,320,359,950.25/66,014
  6. Step 6: Final answer
    x = 307,818.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.