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Finding the Third Proportional to 75,312 and 110,451

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Solution

The third proportional to 75,312 and 110,451 is: 161,985.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,312 : 110,451 = 110,451 : x
  2. Step 2: Convert to fraction form
    75,312/110,451 = 110,451/x
  3. Step 3: Cross multiply
    75,312x = 110,451 × 110,451
  4. Step 4: Simplify right side
    75,312x = 12,199,423,401
  5. Step 5: Solve for x
    x = 12,199,423,401/75,312
  6. Step 6: Final answer
    x = 161,985.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.