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Finding the Third Proportional to 67,577.63 and 97,343.44

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Solution

The third proportional to 67,577.63 and 97,343.44 is: 140,220.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,577.63 : 97,343.44 = 97,343.44 : x
  2. Step 2: Convert to fraction form
    67,577.63/97,343.44 = 97,343.44/x
  3. Step 3: Cross multiply
    67,577.63x = 97,343.44 × 97,343.44
  4. Step 4: Simplify right side
    67,577.63x = 9,475,744,824.32
  5. Step 5: Solve for x
    x = 9,475,744,824.32/67,577.63
  6. Step 6: Final answer
    x = 140,220.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.