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Finding the Third Proportional to 92,294 and 202,060

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Solution

The third proportional to 92,294 and 202,060 is: 442,371.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,294 : 202,060 = 202,060 : x
  2. Step 2: Convert to fraction form
    92,294/202,060 = 202,060/x
  3. Step 3: Cross multiply
    92,294x = 202,060 × 202,060
  4. Step 4: Simplify right side
    92,294x = 40,828,243,600
  5. Step 5: Solve for x
    x = 40,828,243,600/92,294
  6. Step 6: Final answer
    x = 442,371.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.