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Finding the Third Proportional to 145,126.13 and 213,422.63

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Solution

The third proportional to 145,126.13 and 213,422.63 is: 313,859.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,126.13 : 213,422.63 = 213,422.63 : x
  2. Step 2: Convert to fraction form
    145,126.13/213,422.63 = 213,422.63/x
  3. Step 3: Cross multiply
    145,126.13x = 213,422.63 × 213,422.63
  4. Step 4: Simplify right side
    145,126.13x = 45,549,216,861.89
  5. Step 5: Solve for x
    x = 45,549,216,861.89/145,126.13
  6. Step 6: Final answer
    x = 313,859.53

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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.