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Finding the Third Proportional to 71,897.63 and 149,536.13

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Solution

The third proportional to 71,897.63 and 149,536.13 is: 311,012.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,897.63 : 149,536.13 = 149,536.13 : x
  2. Step 2: Convert to fraction form
    71,897.63/149,536.13 = 149,536.13/x
  3. Step 3: Cross multiply
    71,897.63x = 149,536.13 × 149,536.13
  4. Step 4: Simplify right side
    71,897.63x = 22,361,052,680.02
  5. Step 5: Solve for x
    x = 22,361,052,680.02/71,897.63
  6. Step 6: Final answer
    x = 311,012.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.