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Finding the Third Proportional to 35,743 and 78,541

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Solution

The third proportional to 35,743 and 78,541 is: 172,584.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,743 : 78,541 = 78,541 : x
  2. Step 2: Convert to fraction form
    35,743/78,541 = 78,541/x
  3. Step 3: Cross multiply
    35,743x = 78,541 × 78,541
  4. Step 4: Simplify right side
    35,743x = 6,168,688,681
  5. Step 5: Solve for x
    x = 6,168,688,681/35,743
  6. Step 6: Final answer
    x = 172,584.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.