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Finding the Third Proportional to 94,527 and 104,824.13

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Solution

The third proportional to 94,527 and 104,824.13 is: 116,242.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,527 : 104,824.13 = 104,824.13 : x
  2. Step 2: Convert to fraction form
    94,527/104,824.13 = 104,824.13/x
  3. Step 3: Cross multiply
    94,527x = 104,824.13 × 104,824.13
  4. Step 4: Simplify right side
    94,527x = 10,988,097,182.02
  5. Step 5: Solve for x
    x = 10,988,097,182.02/94,527
  6. Step 6: Final answer
    x = 116,242.95

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.