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Finding the Third Proportional to 92,604 and 143,346

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Solution

The third proportional to 92,604 and 143,346 is: 221,891.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,604 : 143,346 = 143,346 : x
  2. Step 2: Convert to fraction form
    92,604/143,346 = 143,346/x
  3. Step 3: Cross multiply
    92,604x = 143,346 × 143,346
  4. Step 4: Simplify right side
    92,604x = 20,548,075,716
  5. Step 5: Solve for x
    x = 20,548,075,716/92,604
  6. Step 6: Final answer
    x = 221,891.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.