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Finding the Third Proportional to 40,320 and 84,312

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Solution

The third proportional to 40,320 and 84,312 is: 176,302.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,320 : 84,312 = 84,312 : x
  2. Step 2: Convert to fraction form
    40,320/84,312 = 84,312/x
  3. Step 3: Cross multiply
    40,320x = 84,312 × 84,312
  4. Step 4: Simplify right side
    40,320x = 7,108,513,344
  5. Step 5: Solve for x
    x = 7,108,513,344/40,320
  6. Step 6: Final answer
    x = 176,302.41

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.