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Finding the Third Proportional to 42,556 and 67,354

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Solution

The third proportional to 42,556 and 67,354 is: 106,602.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,556 : 67,354 = 67,354 : x
  2. Step 2: Convert to fraction form
    42,556/67,354 = 67,354/x
  3. Step 3: Cross multiply
    42,556x = 67,354 × 67,354
  4. Step 4: Simplify right side
    42,556x = 4,536,561,316
  5. Step 5: Solve for x
    x = 4,536,561,316/42,556
  6. Step 6: Final answer
    x = 106,602.16

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.