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Finding the Third Proportional to 35,294 and 73,492

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Solution

The third proportional to 35,294 and 73,492 is: 153,030.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,294 : 73,492 = 73,492 : x
  2. Step 2: Convert to fraction form
    35,294/73,492 = 73,492/x
  3. Step 3: Cross multiply
    35,294x = 73,492 × 73,492
  4. Step 4: Simplify right side
    35,294x = 5,401,074,064
  5. Step 5: Solve for x
    x = 5,401,074,064/35,294
  6. Step 6: Final answer
    x = 153,030.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.