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Finding the Third Proportional to 40,293 and 88,362

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Solution

The third proportional to 40,293 and 88,362 is: 193,776.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,293 : 88,362 = 88,362 : x
  2. Step 2: Convert to fraction form
    40,293/88,362 = 88,362/x
  3. Step 3: Cross multiply
    40,293x = 88,362 × 88,362
  4. Step 4: Simplify right side
    40,293x = 7,807,843,044
  5. Step 5: Solve for x
    x = 7,807,843,044/40,293
  6. Step 6: Final answer
    x = 193,776.66

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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.