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Finding the Third Proportional to 91,824 and 145,656

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Solution

The third proportional to 91,824 and 145,656 is: 231,047.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,824 : 145,656 = 145,656 : x
  2. Step 2: Convert to fraction form
    91,824/145,656 = 145,656/x
  3. Step 3: Cross multiply
    91,824x = 145,656 × 145,656
  4. Step 4: Simplify right side
    91,824x = 21,215,670,336
  5. Step 5: Solve for x
    x = 21,215,670,336/91,824
  6. Step 6: Final answer
    x = 231,047.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.